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It should work on that PC. I know it runs on Win7. Make sure you have the latest graphics drivers for your video card. You can actually get them very quickly via the menu on the Steam client.
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The last time I installed the latest graphics driver (via Nvidia home) the system shat itself and I had to roll it back.
After installing Deus-ex ,I could not get it to work.
I Googled 'cannot run Deus Ex Human Revolution to run on Win 7" Found claims it will not work on Win 7.
I uninstalled it,but can install it again.
I will do some more searching asking a different question IE "How to run Deus Ex on Win 7"
I am not for a second discounting your advice,which I appreciate,thank you.