Backfiring out of the muffler, or out of the carburetor?
Backfiring out of the muffler indicates that unburned gas is getting into the exhaust, and then is being ignited. This coud be caused by several reasons. You could be running very rich, in which case the charge in the cylinder doesn't completely burn in the cylinder, and it continues burning in the muffler after the exhaust stroke. It could be that you have a valve sticking open, which is forcing unburned fuel into the exhaust, where it gets ignited by the exhaust from other cylinders. It could by you have a misfiring spark plug, in which case, like a sticking valve, the unburned fuel gets pushed out into the exhaust where it ignites.
I'd pull the plugs, and run a compression test to check for a sticking valve. I'd read the sparkplugs. If they are all fouled with black powdery residue, then you're running too rich. Close down that gas adjusting valve on the dashboard. If one plug is fouled but the rest are ok, that plug is misfiring. Could be a bad plug, could be a bad distributor body.