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Who is "they" at the Dell site? I only see one driver file listed.
Did you download "Video_Driver_77P69_WN_9.18.13.3185_A00.EXE"?

Like I said, I don't use Windows Update to install drivers.
...

Did you try the drivers from the Dell site yet?
http://www.dell.com/support/home/us/en/19/product-support/product/xps-8700/drivers

I'm guessing it would be the nVIDIA GeForce 5xx/6xx/7xx Series...

So you downloaded 385.69-desktop-win8-win7-64bit-international-whql.exe and it gave you that error?

You can try the Windows Update driver, I guess. I prefer to get the driver directly from the...

Did you check out the links I posted on post #15? The video card drivers can affect the sleep mode. Also, there is a yellow exclamation point warning on your video card in Device Manager.

Even if...

x86 = 32-bit
Programs (x86) is the folder where 32-bit apps are installed.
https://www.howtogeek.com/129178/why-does-64-bit-windows-need-a-separate-program-files-x86-folder/

According to your screenshot, you have Windows 7 64-bit (x64).
What do you mean you have x32? Do you have more than one version of Windows installed?

You tried updating from Device Manager? You need to download the drivers from Nvidia.

http://www.nvidia.com/Download/index.aspx?lang=en-us

This is what came up for Win7 64 for the GT 720:...

It looks like there is an issue with your video card in Device manager. Have you updated your drivers?
https://www.howtogeek.com/forum/topic/windows-7-sleep-mode-option-gone...

Can you post a screenshot? So you're saying instead of "Put the computer to sleep:" it says "Shut down:"?

Is this a laptop or a desktop? You didn't post the make/model.

Msconfig tells you what...

You mean you don't see sleep listed like in Method #2? When I open Control Panel > Power Options, and click Change plan settings, the sleep setting is right there.

Did you check Task Manager to...