64 bit laptop ram cap

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I have a Cyberpower PC (laptop) with the i7 processor and 64-bit Windows 7 Ultimate, in the manual, it states that it'll hold up to 6 GB of DDR3 memory but I have 3 available slots to use. The question is, can I buy 3, 4GB DDR3 modules running at 1333 MHz and be able to have the OS recognize all 12 GB of memory?