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35.5=35x+37(100-x)/100
We move all terms to the left:
35.5-(35x+37(100-x)/100)=0
We add all the numbers together, and all the variables
-(35x+37(-1x+100)/100)+35.5=0
We multiply all the terms by the denominator
-(35x+37(-1x+100)+(35.5)*100)=0
We calculate terms in parentheses: -(35x+37(-1x+100)+(35.5)*100), so:We get rid of parentheses
35x+37(-1x+100)+(35.5)*100
We add all the numbers together, and all the variables
35x+37(-1x+100)+3550
We multiply parentheses
35x-37x+3700+3550
We add all the numbers together, and all the variables
-2x+7250
Back to the equation:
-(-2x+7250)
2x-7250=0
We move all terms containing x to the left, all other terms to the right
2x=7250
x=7250/2
x=3625
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