Latin Sütterlin (https://de.wikipedia.org/wiki/Ausgangsschrift#/media/Datei:S...) has an x without backtracking. At first it looks a bit weird with the two loops, but I think they are exaggerated for didactical reasons. If you train a bit you can make it look like an x by making the loops thinner. Put differently, this is the "opposing c's"-method, without lifting the pen between the two c's.
That's how I was taught to do it, and I always found it weird because it looks like an S and a C, while in my language it's pronounced in exactly the opposite way. We don't have many words with Xs in Italian, so I probably never "simplified" it in my hand writing and I still draw it that way in the rare occasions I write in cursive.
