Even if you explained your view of a situation until you were blue in the face, some could still misunderstand you.
If you went without air for too long, your skin could start turning a blueish color. If you talked for a really long time and never took a breath, maybe your face would start turning that same blueish color, but it would take a lot of talking to get to that point. In the same way, explaining something until you're blue in the face means talking for a long time, using a lot of effort.