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10x+(9-x)=x+10(9-x)+27
We move all terms to the left:
10x+(9-x)-(x+10(9-x)+27)=0
We add all the numbers together, and all the variables
10x+(-1x+9)-(x+10(-1x+9)+27)=0
We get rid of parentheses
10x-1x-(x+10(-1x+9)+27)+9=0
We calculate terms in parentheses: -(x+10(-1x+9)+27), so:We add all the numbers together, and all the variables
x+10(-1x+9)+27
We multiply parentheses
x-10x+90+27
We add all the numbers together, and all the variables
-9x+117
Back to the equation:
-(-9x+117)
9x-(-9x+117)+9=0
We get rid of parentheses
9x+9x-117+9=0
We add all the numbers together, and all the variables
18x-108=0
We move all terms containing x to the left, all other terms to the right
18x=108
x=108/18
x=6
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