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38(16-5.5x)=15(5x-7+31.4)
We move all terms to the left:
38(16-5.5x)-(15(5x-7+31.4))=0
We add all the numbers together, and all the variables
38(-5.5x+16)-(15(5x+24.4))=0
We multiply parentheses
-190x-(15(5x+24.4))+608=0
We calculate terms in parentheses: -(15(5x+24.4)), so:We get rid of parentheses
15(5x+24.4)
We multiply parentheses
75x+366
Back to the equation:
-(75x+366)
-190x-75x-366+608=0
We add all the numbers together, and all the variables
-265x+242=0
We move all terms containing x to the left, all other terms to the right
-265x=-242
x=-242/-265
x=242/265
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