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    UPDATE 3-Venezuela opposition mourns slaying of Capriles activists

    * Opposition leader demands justice for three shot

    supporters

    * President responds to criticism of day-to-day record

    * With one week to go, election expected to be close

    CARACAS, Sept 30 (Reuters) - Venezuelan opposition leader

    Henrique Capriles demanded justice on Sunday for the shooting of

    three of his activists, while President Hugo Chavez promised to

    expand his socialist agenda if he wins next weekend's election.

    With a week to go, Venezuela's presidential race looks close

    and tensions are rising. On Saturday, gunmen killed three

    pro-Capriles activists in Barinas state - the worst violence of

    the campaign.

    "Yesterday, sadly, violence took three lives, something that

    should never have happened," Capriles told hundreds of thousands

    of exuberant supporters at a rally in Caracas that appeared to

    be the largest of his campaign.

    "I want to tell their families, and those angels in heaven,

    that we are going to defeat violence on the 7th of October."

    Capriles' Primero Justicia (Justice First) party said the

    assailants had fired from a van that witnesses identified as

    belonging to a state agency, after Chavez supporters had blocked

    an opposition motorcade.

    The government did not admit fault in the shooting, but

    promised an investigation into what it said was an isolated

    incident in the South American nation of 29 million people.

    Chavez said he regretted the deaths and called for calm,

    while at the same time saying any confrontation would come from

    the "bourgeois" opposition.

    "It's not with violence that we face off. It's with votes,

    ideas, peace, so let's not fall into provocations," Chavez said

    during a rally in western Zulia province.

    Venezuela is awash with arms, and voters cite violent crime

    as their No. 1 concern. There have been gunshots and clashes at

    previous opposition rallies, but no deaths.

    TIGHT RACE

    Capriles has hammered Chavez daily for his record on

    day-to-day problems like crime, blackouts and shoddy

    infrastructure a n d drew a frank response from the president.

    "Efficiency, that is one of my promises for the next period.

    We have to correct things," the 58-year-old Chavez said on

    Sunday in his most direct comment on a theme the opposition

    hopes could sway former "Chavistas" into their camp.

    Chavez has acknowledged Venezuelans' frustration with

    grassroots problems in his recent campaign speeches, but said

    things would be far worse under Capriles, who he paints as a

    heartless capitalist elitist.

    Capriles, 40, is a state governor with a centrist view of a

    Brazilian-style, pro-business government with strong welfare

    policies. Both men have spent time in prison - Chavez for a

    failed military coup in 1992 and Capriles for a fracas outside

    the Cuban Embassy during a short putsch against Chavez in 2002.

    With one week to go, polls are mixed, leading both sides to

    claim they are heading for victory. Venezuelans are fearful of

    violence if the result is close and disputed.

    Of the six best-known pollsters in Venezuela, a majority put

    Chavez ahead, but they also show Capriles creeping up in recent

    weeks. Two polls put Capriles just ahead of Chavez.

    Despite two bouts of cancer since mid-2011, Chavez has

    declared himself completely cured and is trying to recapture his

    old energy to win another six-year term.

    He was campaigning in two states on Sunday.

    MORE SOCIALISM

    Western investors hope the more business-friendly Capriles

    will win and end a nationalization drive and other radical

    policies that have polarized Venezuela and made Chavez one of

    the world's most controversial leaders.

    "I will not aspire to be a Messiah," Capriles told the

    rally, saying Chavez was more interested in a grandiose

    self-image than in solving Venezuela's problems.

    Chavez has directed a large part of the OPEC member's oil

    revenues to social welfare projects popular with the nation's

    poor. He also maintains a unique connection with the masses,

    thanks to his folksy rhetoric and own humble roots.

    On Sunday he promised to "deepen" socialism if he wins.

    That would likely mean continued spending on his popular

    welfare "missions," more investment from politically aligned

    allies like China and Iran, new confrontations with Venezuela's

    private sector and continued support for fellow leftists

    governments in Latin America like Cuba and Nicaragua.

    "The first thing we are going to do with our victory is

    something like put a lockdown on what we have achieved, to

    prevent any going backwards. That would be terrible," Chavez

    said in an interview on state TV.

    After election wins in the past, Chavez has launched

    nationalization or constitutional reform drives.

    Opposition leaders are angry at Chavez' use of state

    resources in his campaign, but say the electronic-based voting

    system should be hard to rig on election day, since they will

    have their own observers at most voting booths.

    Some Capriles supporters, who regard Chavez as a dictator,

    believe he would refuse to accept defeat.

    "Chavez will definitely put up a fight because he does not

    want to lose power," said Vessla Rodriguez, 62, waving a huge

    flag with Capriles' slogan "There is a way" at the march.

    "Just look at Fidel Castro," she added, in reference to

    Chavez's friend and mentor who led Cuba for decades.