I always say get them all . . .

I have two of each and neither has given me a one problem . . .
If you will not be using the facilities only available to the LX - like changeable viewfinders . . .
. . . then maybe the MX is the better choice.
Need TTL flash, then maybe the LX is the better choice . . .
Maybe the more compact and lighter MX setup with the pancake lens is a better choice?
Maybe you want aperture priority evey now and then in which case the LX is the better choice. For me, that aperture priority mode was the main reason I ever got the LX as it is the only camera ever made - by any company film or digital, that can take as long as it takes to properly expose a scene, all the while monitoring it for changes in light and adjusting accordingly.
Most all aperture priority capable cameras can autoexpose a typical daylight scene. This one using the LX with Lomography 100 film.
Most can even expose a scene seconds long. This one on Fuji RVP50.
However, autoexposure measuring minutes long and you eliminate most cameras. This one >10 minutes on Kodak Portra 800.
For autoexposures longer than 40 minutes, I am not aware of any other camera - beside the LX, that can do this. I don't believe you can even do this using an external meter. This one using Kodak Ektar 100.
For this scene - taken using Kodak Gold 100 with the LX in aperture priority mode, I pressed the shutter button about 9pm and sometime after 3am it finished.
Good luck with your choice!