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6(x-7)=3-9x
We move all terms to the left:
6(x-7)-(3-9x)=0
We add all the numbers together, and all the variables
6(x-7)-(-9x+3)=0
We multiply parentheses
6x-(-9x+3)-42=0
We get rid of parentheses
6x+9x-3-42=0
We add all the numbers together, and all the variables
15x-45=0
We move all terms containing x to the left, all other terms to the right
15x=45
x=45/15
x=3
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