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32(14-3.5x)=13(3x-5)+14.7
We move all terms to the left:
32(14-3.5x)-(13(3x-5)+14.7)=0
We add all the numbers together, and all the variables
32(-3.5x+14)-(13(3x-5)+14.7)=0
We multiply parentheses
-96x-(13(3x-5)+14.7)+448=0
We calculate terms in parentheses: -(13(3x-5)+14.7), so:We get rid of parentheses
13(3x-5)+14.7
We multiply parentheses
39x-65+14.7
We add all the numbers together, and all the variables
39x-50.3
Back to the equation:
-(39x-50.3)
-96x-39x+50.3+448=0
We add all the numbers together, and all the variables
-135x+498.3=0
We move all terms containing x to the left, all other terms to the right
-135x=-498.3
x=-498.3/-135
x=3+28.2727272727/40.9090909091
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