Flash's 1 pixel anomaly

What do I mean by "Flash's 1 pixel anomaly"? If you've worked in flash and used certain types of backgrounds with your flash movie, you'll know what I mean here. Once you post your SWF file and view it, you can see that there's a 1 pixel margin that's off one way (top, down, left, right) with your background. So you go into flash, move your background 1 pixel hoping it'll fix it, but lo and behold, it's made it worse. I will show 2 different ways of getting around this. I haven't found any other tutorials or explanations of this, so here you go.

Below is an example of what I'm referring to here. The red is the Flash movie area, and the yellow circle shows where this 1 pixel anomaly show up on this particular movie.