Oky-Doky.
The UM506 x10 universal module responds to power line x10 commands and has a pair of screw terminal contacts that will "make" in response to a "on" command sent to it.
Connect the um506 to the wires connections the camera needs to close, the the um506 to close momentarily and set any x10 motion detector to the um506's house and unit codes.
If I understand what you need correctly, that should do it.