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4(x+7)=9(x-1)+2
We move all terms to the left:
4(x+7)-(9(x-1)+2)=0
We multiply parentheses
4x-(9(x-1)+2)+28=0
We calculate terms in parentheses: -(9(x-1)+2), so:We get rid of parentheses
9(x-1)+2
We multiply parentheses
9x-9+2
We add all the numbers together, and all the variables
9x-7
Back to the equation:
-(9x-7)
4x-9x+7+28=0
We add all the numbers together, and all the variables
-5x+35=0
We move all terms containing x to the left, all other terms to the right
-5x=-35
x=-35/-5
x=+7
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