International Business Machines Corp., the world’s largest seller of computer services, agreed to buy SoftLayer Technologies Inc., a cloud-computing storage provider that will help it compete with Amazon.com Inc.

IBM is paying almost $2 billion for SoftLayer, according to a person familiar with the deal, who declined to be named because the financial terms aren’t being released. SoftLayer had $335 million in revenue in 2012, Chief Executive Officer Lance Crosby said in an interview.

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