I recently installed Windows Live Writer which was an upgrade from the previous version.
Unfortunately, after I upgraded, when I went to start WLW, I got a rude error indicating that UXCore.dll could not be found.
In poking around, I found a folder called “Shared” in the root of the Windows Live folder: C:\Program Files (x86)\Windows Live\Shared
Copying all of the DLLs in the Shared folder to the C:\Program Files (x86)\Windows Live\Writer folder solved the issue.
Hope this helps anyone who encounters the same issue.