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9(4-x)=-3x+6
We move all terms to the left:
9(4-x)-(-3x+6)=0
We add all the numbers together, and all the variables
9(-1x+4)-(-3x+6)=0
We multiply parentheses
-9x-(-3x+6)+36=0
We get rid of parentheses
-9x+3x-6+36=0
We add all the numbers together, and all the variables
-6x+30=0
We move all terms containing x to the left, all other terms to the right
-6x=-30
x=-30/-6
x=+5
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