Here are the formerly (actual and should have been) "sticky" REAPER+Linux threads:
Reaper installer for Linux
Reaper with Linux / WineAsio
Remix_OS - new Linux distro for REAPER
"How to run Reaper in Wine on Linux" Wiki page (under construction, please help completing it!)
If you know of other threads/"must read" resources that a new REAPER tinfoilhat
should see at this particular place, please add them!