Looks pretty much like it started life as a 76 CB550K. Those muffler additions are unique. Are they just welded on, or have the muffler guts been modified, too?
Been repainted, FYI, Candy Garnet Brown was the original 76 K flavor. Is this a US bike? Front turn sigs are 1974 style.
You carbs should be either 022A or 087A Keihins. There is a large head screw at the bottom of each float bowl. It's the bowl drain.
Looks like you have and ignition modification, too.
Good looking bike. They are pretty fun to ride.
Next time you run her, you should check the head pipes for heat. Cold ones mean they aren't firing. And, that's the cylinder/carb that is giving trouble. Don't go grabbing exhaust pipes. Flash touch and wait for the heat signals to get to the brain. Increase the touch frequency to your comfort level.
You've got some pipe discoloration there. So, if not now, at one time the cylinder was run quite hot, like it would with a plugged idle jet starving it for fuel. Plugged idle jets also make the engine wheezy/hesitate when giving it throttle.
The idle screw is set when the engine is running properly and at full operating temperature. When cold, expect it to NOT idle without your hand holding the throttle open a bit. It should only take a few blocks of riding for it to idle at the warm idle setting. But, it does depend on the outside temps just how fast it warms up. If it seems really cold blooded, check your spark plug heat range. NGK D7EA is correct, not the D8EA the CB750 uses.
Let us know your progress.
Cheers,