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10(1+11x)=12(x+9)
We move all terms to the left:
10(1+11x)-(12(x+9))=0
We add all the numbers together, and all the variables
10(11x+1)-(12(x+9))=0
We multiply parentheses
110x-(12(x+9))+10=0
We calculate terms in parentheses: -(12(x+9)), so:We get rid of parentheses
12(x+9)
We multiply parentheses
12x+108
Back to the equation:
-(12x+108)
110x-12x-108+10=0
We add all the numbers together, and all the variables
98x-98=0
We move all terms containing x to the left, all other terms to the right
98x=98
x=98/98
x=1
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