For those that don't already know this...
Use https://webcache.googleusercontent.com/search?q=cache: and then paste in the webpage or website you wish to look at.
If you are just looking for a search term, select Text-only Version and Ctrl-F your way to your info!
My reason for doing this: Sometimes I search for a term and when I get the webpage that has the info, it isn't there after clicking. Mostly because Google's preview is from an outdated version of the webpage. But the Google Webcache still has it and you can still reach it even tho Google doesn't give links to their cached pages anymore.
EDIT: You can also look at Twitter (I'll never call it 'X') without having an account. https://webcache.googleusercontent.com/search?q=cache:https://twitter.com/MouinRabbani/
This works on desktop. Not sure about mobile. On desktop, the formatting is frelled up but you still see all the posts.
I generally start with archive.org and archive.today. Google is always my last choice because Google.