I even read this aloud in my head as "CREATE ZE VUCKING FILE" in a particularly bad German accent same as over 20 years ago when a friend I worked for drilled it in my head.
I suppose it is tar version dependent, but on any recent Linux version I have used, you can just tar xvf <tar_name.tar.{z,gz,xz,etc}> and it will automatically figure out if it is compressed, what tools were used to compress it, and how to decompress it.
But you are right, x and c are mutually exclusive.