Say you want to go to twitter.com/dril.
"But AssortedBiscuits, that just redirects to x.com/dril"
Ah, but if you add an ?mx=1 at the end like twitter.com/dril?mx=1, the URL will then redirect to twitter.com/dril. From there, you can pretty much just use Twitter like normal. twitter.com/?mx=1 will take you to the normal Twitter login page or twitter.com/home if you're already logged in.
Did you one better and found a still-working nitter instance.