A fabric store has 44 bolts of fabric on its clearance table. Of these bolts 28 are broadcloth, 17 floral prints, 22 have a blue background, 12 floral prints on broadcloth, 10 arare broadcloth with a blue background, and 5 are floral prints with blue background. If all but 2 of the clearance fabrics fitfit a least one of these categories, how many of the bolts are broadcloth floral prints with a blue background. I get 4 is this correct?

My work:
44= 28+17+22-12-10-5+x
X=4