Updated

The Latest on Mexico's elections (all times local):

6:20 p.m.

Exit polls in Mexico are predicting clear victories for allies of leftist presidential candidate Andres Manuel Lopez Obrador in races for four statehouses plus the capital.

Surveys conducted by Consulta Mitofsky and Televisa forecast gubernatorial wins for allies of the Morena party in Chiapas, Morelos, Tabasco and Veracruz, and for head of government in Mexico City.

A win for the conservative National Action Party is predicted in the central highland state of Guanajuato.

In all, eight governorships plus the capital are up for grabs in Sunday's vote. Exit polls for the presidential race have not yet been released.

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6 p.m.

Polls are beginning to close across much of Mexico for Sunday's presidential election.

They're scheduled to end at 6 p.m. in each of Mexico's three summer time zones, meaning the last to close will come in the northwestern state of Baja California.

Ediane Da Costa Pereira is a Brazilian who became a naturalized citizen in Mexico and voted Sunday in Tijuana, across the border from San Diego.

She said she backed leftist front-runner Andres Manuel Lopez Obrador and called him less than ideal but the "best of the bad" options. She said a Lopez Obrador presidency is a good way to kick the ruling Institutional Revolutionary Party, or PRI, out of power.

But 20-year-old Jose Corrales said he supported PRI candidate Jose Antonio Meade for his "Advance With You" program, which would offer support to citizens according to their specific, individual needs.

Lopez Obrador has had a wide advantage in most polls over Meade, conservative candidate Ricardo Anaya of a right-left coalition and independent Jaime "El Bronco" Rodriguez.

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1:15 p.m.

Mexican President Enrique Pena Nieto has cast his vote in elections to choose his successor.

Pena Nieto tells reporters at the polling station that his administration will be "absolutely respectful and support the authorities that are elected."

Candidate Jose Antonio Meade of Pena Nieto's Institutional Revolutionary Party has been running third in most polls, behind front-runner Andres Manuel Lopez Obrador of the leftist Morena party and conservative Ricardo Anaya of a right-left coalition.

Pena Nieto said Sunday that the vote "should reaffirm us in our democratic vocation."

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12:30 p.m.

The head of Mexico's electoral institute says voting across the country has been proceeding "peacefully, without major incidents." Lorenzo Cordova says only four of the 156,807 polling places failed to open.

Front-runner Andres Manuel Lopez Obrador voted early, saying "today the people will decide between more of the same or a real change."

Candidates Ricardo Anaya and Jose Antonio Meade both said they were expecting to be celebrating when polls close later Sunday.

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8:20 a.m.

Polls have opened in Mexico's presidential and local elections, and front-running candidate Andres Manuel Lopez Obrador is among the first to line up at his polling place in Mexico City.

While the left-leaning candidate holds a commanding lead in polls, voters who don't like him also lined up early.

Twenty-six-year-old Juan Carlos Limas said he's "concerned that some candidates are making proposals that are impossible, because they're very expensive to carry out." He says he's voting for Ricardo Anaya, candidate of a right-left coalition.