The CPU 'fail' doesn't matter (don't know if that's a round off issue, or something unexpected with how the CPU information is returned, but it happens sometimes with 2.4GHz i7 CPUs).

Are you starting the game on the Radeon chip? The HD 7970M does have DirectX 11 support, but the Intel HD 3000 does not.

The DDI version is what your video card drivers are reporting for hardware DirectX support. There are driver issue which can cause that to be wrong (in which case an update or clean reinstall of the drivers may help), as well as some hardware monitoring or overclocking/tweaking programs.
Also, for Windows 7 this can commonly be caused by not having Service Pack 1 installed.

Check the DDI Version specifically for the Radeon card. Click Start (or WinKey-R), type in dxdiag and hit Enter, then in the window that opens, switch to the Display tab (you can double check that SP1 is listed in the System tab, as well).
The DDI Version will be listed in the Drivers section on the right; it should be 11.1 for the 7970M.

Try manually installing the support packages (from the folder ..\SteamApps\common\Divinity Original Sin Enhanced Edition\_CommonRedist) and reboot. There is a similar folder in the GOG install folder, as well.