When you say "backfire" could you possibly mean "sneeze"??
These motors are a little temper-mental on the low speed setting and some times need to be adjusted for weather.. Depending on temperature and humidity..
First off, install a new set of champion J4C plugs to rule them out.. ( I'm pretty sure those are the proper plugs)
Now 'assuming' that your carb and ignition systems are not the issue, you might have to tweak the low speed a little richer.. When adjusting, give it about 1/8 turn at a time, and let it run about 30 seconds for each adjustment to take effect.