It seems that every thread I read is how to execute a program remotely and have the GUI also show up remotely (essentially "ssh -X user@ip").

How do I execute a program remotely and have the GUI show up on the other machine? I'm running image generator clients that just need to start and are controlled through a central server.

For example, I want to start "gcalctool" on a machine that only has a monitor. From another machine, I want to send a command (or log in) to the KM-less computer to have the calculator GUI show up on the KM-less display.