DALLAS — Texas budget negotiators agreed late Thursday to accept the Senate’s plan for a $4 billion reduction to state aid for public education over the next two years, ditching the House’s proposal for cuts totaling $7.8 billion.

Further talks were scheduled over the weekend as a 10-member conference committee tries to resolve the differences between the House’s $167.5 billion budget for fiscal 2012-13 and the Senate’s $176.5 billion version.

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