I also have this same issue (1 or 2 displays have black screen always) after I upgraded to 7.4M2 on a Windows 8.1 Pro installation.
Like Vladimir, if I take a screenshot, I see the desktops for the 1 (or 2) additional monitors I plug in. The actual monitors receive a signal, but the screen output is completely black. I forgot to make a note of what version was working before I upgraded... grr. It was installed definitely some time after 9/15/13.... not sure what version was current at that point in time that I downloaded.
I also have an NVIDIA card... a GT 740m, on a Toshiba Satellite P50-ABT2G22 custom-built laptop. The previous version of the software was working fine with the 327.23 drivers. I have not tried to upgrade to newer NVIDIA drivers yet...
More to come as I diagnose further. Using an HP 3005pr USB 3.0 port replicator.
Edit 1: I was able to download 7.4M0 and revert to a working setup with the same NVIDIA drivers as before. Vladimir, this download should be helpful in the meantime: Link is here:
http://displaylink.com/support/sla.php?fileid=98
Edit 2: I attached my debug files from 7.4M2 in the next post (post 11) on this thread.