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Thank you for contacting Intel Communities.
After checking the information on your laptop (MSI GX660) that I could find, it looks like you cannot upgrade to the Intel® Core™ i3-3110M Processor. This is because of the chipset series (5th vs 7th) along with the BIOS and RAM compatibility, to name a few. However, the best place to confirm this is the OEM (MSI).
You can check the following links for further information:
To see supported chipsets: Intel® Core™ i3-3110M Processor > click on "Compatible Products".
Information to consider before upgrading: Intel® Desktop Processor Upgrade Information (this article also applies to mobile processors).
I hope this information helps.