Running X-windows ... on Windows.

I run a number of computers from an old Compaq Evo N410C as a netbook, through to a new Dell Studio 15 laptop with all the bells and whistles.  I also run different operating systems - mainly Windows and Ubuntu ( http://www.ubuntu.com ).  The problem is, I often have files and projects scattered across the various computers depending on when and where I use them.  Therefore I want to be able to hop from computer to computer to get to the files I need pretty well from anywhere - even from my Android phone.

So what to do?  The usual approach people take is to use some type of remote desktop application - such as VNC or RDP.  This is easy enough, but overlays one desktop (the remote one) on another (the local one)  On a laptop this makes it dfficult to work between the two screens and is sometimes slow to update - not to mention awkward to share information between the remote and local machines. 
Better by far is to be able to run the application on the target machine but have the output displayed on the screen in front of you.  Impossible?  Not if you use linux.  Unix and Linux machines have been able to run software on a remote machine like this for almost twenty years.

This is what you do to run linux apps on a linux PC but have the windows viewable on a Windows PC or laptop:
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