Reinstalling tire after replacing inner tube, how important is it that tire bead is even along rim? Replacing my inner tube, I've been having some trouble getting the tire back on the rim with the bead completely even throughout. For an example of what I'm talking about, see this segment of a tutorial:


                
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The tire bead isn't very far up or down where it's uneven, but there's still a handful of spots it's uneven after inflating. It looks pretty good and I've been inflating/checking/deflating/shifting/repeating many more times than I remember having to last time I did this.

How important is it that the tire bead is even along the rim? What are the issues that could arise (or rather deflate) due to unevenness?
An uneven bead can indicate the tube is trapped under the bead. This can cause blowouts or pinch flats. Let the air almost all out of the tube until you can push the tire back away from the bead, then push the tire back from the bead and look all the way around on both sides to ensure the tube is not under the bead, but instead all the way inside the tire. If it isn't, work the tube back into the tire all the way around on both sides. Once you're satisfied the tube is fully inside the tire, reinflate. Also, ensure the tire is the right size for this rim.