Installing SSD with OS

Hi guys.
I have an SSD that I installed Windows 7 on. I installed it on my current laptop. Can I take the SSD and then put it in my planned Gaming Rig? I'm gonna be using an AMD processor and multiple other components, it it possible - will it still boot up no problem?

Thanks for replies, I really don't know and Google is no help.

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Should but check if your hardware need drivers.

Thanks bud, I read online that so long as the Base System Device, or the IEEE or IDE shit in Device Manager is not updated or generic or something it should be fine.