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(4.5)(x)=3x+6
We move all terms to the left:
(4.5)(x)-(3x+6)=0
We multiply parentheses
4.5x-(3x+6)=0
We get rid of parentheses
4.5x-3x-6=0
We add all the numbers together, and all the variables
1.5x-6=0
We move all terms containing x to the left, all other terms to the right
1.5x=6
x=6/1.5
x=4
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