Need help choosing please!!

Hello,
I am about to purchase a computer for gaming and need advice ... between these two HP's at the same price, which would be a better choice??
HP Pavilion Desktop Intel Core i7 12GB RAM 2TBHD& Beats Audio
3.4GHz 3rd-generation Intel Core i7-3770 processor
Intel Z75 PCH chipset
12GB PC3-12800 DDR3 SDRAM
2TB SATA hard drive
SuperMulti DVD burner
802.11b/g/n Wi-Fi, single-band 2.4GHz 2x2 MIMO technology
Bluetooth technology
Radeon HD 7570 graphics, 1GB DDR3 dedicated memory
OR ...
HP Pavilion Desktop AMD Six Core 8GB RAM 2TB HDBlu-ray & Beats
3.1GHz AMD eight-core FX-8120 processor
AMD 970 chipset
8GB PC3-10600 DDR3 SDRAM
2TB SATA hard drive
SuperMulti Blu-ray player/DVD burner
802.11b/g/n Wi-Fi with single-band 2.4GHz 2x2 MIMO technology
Bluetooth technology
Radeon HD 7670 graphics with 1GB GDDR5 dedicated graphics memory

And would this computer be worth $400 more than the previous two?
HP Pavilion Desktop AMD Eight Core 10GB RAM 2TBHD, Blu-ray
3.6GHz AMD eight-core FX-8150 processor
AMD 970 chipset
10GB PC3-10600 DDR3 SDRAM, expandable to 16GB
2TB SATA hard drive
SuperMulti Blu-ray player/DVD burner
802.11b/g/n Wi-Fi, single-band 2.4GHz 2x2 MIMO technology
Bluetooth technology
Radeon HD 7770 graphics with 2GB GDDR5 dedicated graphics memory

THANK YOU for any advice!!!!!