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7x+17=5(205-33x)
We move all terms to the left:
7x+17-(5(205-33x))=0
We add all the numbers together, and all the variables
7x-(5(-33x+205))+17=0
We calculate terms in parentheses: -(5(-33x+205)), so:We get rid of parentheses
5(-33x+205)
We multiply parentheses
-165x+1025
Back to the equation:
-(-165x+1025)
7x+165x-1025+17=0
We add all the numbers together, and all the variables
172x-1008=0
We move all terms containing x to the left, all other terms to the right
172x=1008
x=1008/172
x=5+37/43
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