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6(x+1)=9(x+4)
We move all terms to the left:
6(x+1)-(9(x+4))=0
We multiply parentheses
6x-(9(x+4))+6=0
We calculate terms in parentheses: -(9(x+4)), so:We get rid of parentheses
9(x+4)
We multiply parentheses
9x+36
Back to the equation:
-(9x+36)
6x-9x-36+6=0
We add all the numbers together, and all the variables
-3x-30=0
We move all terms containing x to the left, all other terms to the right
-3x=30
x=30/-3
x=-10
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