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3(x-3)+1.5(9-x)=5.5x-15.5
We move all terms to the left:
3(x-3)+1.5(9-x)-(5.5x-15.5)=0
We add all the numbers together, and all the variables
3(x-3)+1.5(-1x+9)-(5.5x-15.5)=0
We multiply parentheses
3x-1.5x-(5.5x-15.5)-9+13.5=0
We get rid of parentheses
3x-1.5x-5.5x+15.5-9+13.5=0
We add all the numbers together, and all the variables
-4x+20=0
We move all terms containing x to the left, all other terms to the right
-4x=-20
x=-20/-4
x=+5
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