Montevideo, Uruguay (CNN) -- Jose "Pepe" Mujica, a former Marxist Tupamaro guerrilla fighter, won Uruguay's presidential runoff election Sunday, exit polls showed. Exit polls had Mujica defeating former president Luis Alberto Lacalle by a margin of 4 to 8 percentage points. Current Uruguayan President Tabare Vazquez confirmed the projection to reporters Sunday evening, and Lacalle conceded in a speech. The streets of the South American country's capital were filled with Mujica's supporters, who cheered and honked their horns. Mujica belongs to the same Broad Front Party as Vazquez, who is popular. Both men are considered leftists. Lacalle is considered more conservative.
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NEW: Jose "Pepe" Mujica asks supporters not to offend people who voted for other candidates
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Mujica said to win by margin of 4 to 8 percentage points
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Former president Luis Alberto Lacalle concedes in a speech
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Mujica belongs to the same Broad Front Party as the current president
Located on @placeholder's southeastern coast, the country has a population of 3.5 million, 92 percent of whom live in urban areas.