Eastern Bank in Boston has agreed to acquire Centrix Bank & Trust in New Hampshire in what would be Eastern's first expansion outside Massachusetts.

The $8.7 billion-asset Eastern said it would pay $134 million in cash for Centrix, a 49% premium over Centrix's stock price of $27.50 per share, at the close of Monday trading. The deal requires approval from regulators and Centrix shareholders. The banks expect the deal to close in the fall.

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