HOUSTON — After a manhunt that stretched to the Mexican border, Texas law enforcement officials on Tuesday arrested the man who they believe shot and killed five people in a neighborhood dispute outside the town of Cleveland, a top official in San Jacinto County said.

The suspect, Francisco Oropesa, 38, an immigrant from Mexico who had been deported four times, was apprehended just a few miles from the site of the Friday night shooting, which took place in a wooded residential development in San Jacinto County, about 50 miles from downtown Houston, said County Judge Fritz Faulkner.

“My emergency manager called me and said they caught him,” Mr. Faulkner said in a brief phone interview on Tuesday. He said that the arrest had taken place in a neighboring county.

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