Gov. Deval Patrick says he will consider allowing slot machines as part of expanded gambling in Massachusetts if the Legislature begins approving other stalled bills.

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Patrick has opposed slots but now says he will accept one competitively bid slot parlor in addition to the casinos that he and lawmakers favor.

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The governor spoke Thursday afternoon after a bit of Statehouse theatrics. He first walked from his office to that of House Speaker Robert DeLeo. Then he walked past reporters to meet with Senate President Therese Murray on the building’s front balcony.

The House bill called for two casinos and slot machines at the state’s racetracks. The Senate version called for three casinos but no racetrack slots.

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The disagreement has blocked bills on health care and criminal records. Formal meetings of the Legislature end Saturday at midnight.