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7(4+x)=9-2x
We move all terms to the left:
7(4+x)-(9-2x)=0
We add all the numbers together, and all the variables
7(x+4)-(-2x+9)=0
We multiply parentheses
7x-(-2x+9)+28=0
We get rid of parentheses
7x+2x-9+28=0
We add all the numbers together, and all the variables
9x+19=0
We move all terms containing x to the left, all other terms to the right
9x=-19
x=-19/9
x=-2+1/9
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