More of the lyrics: http://www.metrolyrics.com/almost-over-you-lyrics-sheena-easton.html
I've almost shook these blues
So when you come back around
After painting the town
You'll see I'm almost over you...
I think that "blues" means "the feeling of melancholy" here. Does "shook these blues" mean that the speaker has tried to get rid of the feeling of melancholy? " - tried and almost succeeded!
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AlpheccaStars "The blues" is a musical genre.But how do you shake the blues? They're too slow for rock 'n roll.