I have a Pentium E5700 CPU mounted on an ASUS P5G41T-M LX3 motherboard with 2 GB of RAM. CPU is genuine Intel as reported by the Intel Processor Diagnostic Tool. BIOS is American Megatrends v 0402.
Even though the specs for this CPU specify that it supports 64-bit versions of an OS, this machine stubbornly insists that it will only accept 32-bit versions. I tried to dual-boot with Win10 (the other OS is Win7 32-bit) and a trial version of Linux; both run fine at 32 bits, but refuse 64-bit instruction sets.
Your 2010 processor is discontinued and not supported.
Yes, it supports and runs 64-bit OS:
You can run IPDT to test your processor:
Rather than dual boot, I suggest just a clean install with W7. As far as W10, your processor is not supported.
Doc (not an Intel employee or contractor)
[Windows 11 is the new Vista]