Sims 4 crashing and not responding

CupckesAnonymous​  This may or may not be related to the mods issue, but please plug your monitor directly into the graphics card rather than into the motherboard as you've currently done.

If this doesn't help with the mods issue, remove the Mods folder and let the game create a new one, then add one of your mods to the new folder.  If that doesn't work, download a fresh copy of a mod confirmed compatible with the current patch and test that.

verbal_housecat​  As a test, please try playing in a clean user folder.  Move the entire Sims 4 folder out of Documents > Electronic Arts and onto your desktop.  When you launch the game, a clean folder will spawn with no content.  (Your saves and other content will be intact in the folder you've moved but temporarily unread by the game.)  Don't add anything to the new folder yet; just start a new save and see how it runs, that is if you can get that far.

If you get another crash, please provide a dxdiag.  Click Windows key-R, enter dxdiag in the run box, wait for the scan to finish, click "Save all information," and save the file to your desktop.  From there, you can attach it to a reply using the paper clip (Attachment) icon included with the other formatting buttons.