Wisconsin Energy Corp., owner of that state’s largest utility, agreed to buy Integrys Energy Group Inc. for $5.7 billion in cash and stock to almost double its customer base and increase revenue.

Wisconsin Energy, which is based in Milwaukee, will pay 1.128 a share and $18.58 in cash for each share of Integrys, representing a 17 percent premium to Integrys’s June 20 closing price, the companies said today in a statement. The deal is expected to close in the summer of 2015 subject to state and federal regulatory approvals.

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