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Yes, it is. Your machine has a Core2Duo processor in it which supports 64bit (if you had a much older machine with just a coreduo then it'd be a different story).
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My Macs: Early 2008 8 core 2.8GHz 8gig ram Mac Pro; Mac mini G4, 1.25 GHz, 512m ram (server); Early '09 Mac Mini, 2GHz, 4Gig Ram, 120Gig HD, 9400m; 2008 Macbook Unibody 2.4GHz, 2Gig Ram, 250Gig HD, 9400m, Aluminum
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