+1 for the clear tube test, for all the reasons calj737 just listed above.
Had a similar problem with my CB750K (a '72K with a '76K tank), which had the single outlet fuel tap on the LH side. Except in my case, the bike wouldn't die, it just wouldn't hold a speed above 60mph without cutting out. It would accelerate past it, but it wouldn't cruise for long periods of time at higher speeds.
Did three things that cured it. After scouring through Hondaman's book, there's a small section where it talks about the single pipe LH fuel taps. He recommends raising the float bowl levels to compensate some (1 or 2mm) for the loss of volume in the single pipe style taps.
Also, my carbs had aftermarket float valves. Replaced them with OEM ones.
The other main thing I did was find a dual outlet style fuel tap from a CB550 (16950-374-671) that used the same threading (19mm) as the later K tank that I have.
After all of this, the highway cutting out was completely gone and the plugs are a little on the sooty side!
HTH.