Have you tried steaming? At my old house, we had to remove a border that was 15 years old and wasn't budging with standard removal, so we used a steamer and it worked wonders.

http://www.ehow.com/how_4796191_remove-wallpaper-border-using-steamer.html

I will say, though, that be careful about using a scorer with drywall; the drywall surface is more prone to damage from scoring.
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