UPUDATE:  Republican Gov.-elect Charlie Baker and Democratic legislative leaders are promising to work together to address the state's most pressing issues despite their political differences.
Following private meetings at the Statehouse on Monday morning, legislative leaders praised the governor-elect as ready to hit the ground running on fiscal and other issues. Baker was a cabinet official in two previous administrations.

Baker says his first priorities remain building a transition team and developing his first state budget. He has been meeting political leaders in the overwhelmingly Democratic state since his narrow victory over state Attorney General Martha Coakley on Nov. 4.

Earlier Story:

Governor-elect Charlie Baker is meeting with legislative leaders at the Statehouse

Baker, a Republican, is meeting Monday morning with Senate Majority Leader Stanley Rosenberg, an Amherst Democrat, who's expected to become senate president next year.

He's then scheduled to meet privately with House Speaker Robert DeLeo, a Winthrop Democrat.

Last week, he met with outgoing Gov. Deval Patrick and visited local politicians and business leaders in western and central Massachusetts.

Baker officially assumes the governor's office in January. He previously served as Secretary of Health and Human Services and later Secretary of Administration and Finance under Republican governors William Weld and Paul Cellucci.

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