Sims 3 won't launch, no error

Minnie326​  Were you originally getting this error?

Failed to launch game
An error on our end caused the launch to fail. Try again a little later.

It's common for Sims 4 but not so much for Sims 3, and I don't know of a fix or workaround yet.  But if you're not seeing it at all now, even after restarting your computer, then it's a moot point.

The errors in your dxdiag, and thanks for providing it, mostly have to do with .NET Framework 3.5, which Sims 3 uses.  So try uninstalling and reinstalling it.  Click Windows key-R, enter appwiz.cpl in the run box, click "Turn Windows features on or off," and the .NET entries will be near the top of the list.  Click the filled-in box next to .NET 3.5 to uninstall, and restart your computer.  Repeat the process, clicking the now-empty box to reinstall, and restart.  If it's already uninstalled, you can install it and restart.

If you get an error when trying to reinstall .NET 3.5, please post a screenshot of it.