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6(5x+1)=8(3x+3)
We move all terms to the left:
6(5x+1)-(8(3x+3))=0
We multiply parentheses
30x-(8(3x+3))+6=0
We calculate terms in parentheses: -(8(3x+3)), so:We get rid of parentheses
8(3x+3)
We multiply parentheses
24x+24
Back to the equation:
-(24x+24)
30x-24x-24+6=0
We add all the numbers together, and all the variables
6x-18=0
We move all terms containing x to the left, all other terms to the right
6x=18
x=18/6
x=3
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