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3x/5+1=4x/5+7
We move all terms to the left:
3x/5+1-(4x/5+7)=0
We get rid of parentheses
3x/5-4x/5-7+1=0
We multiply all the terms by the denominator
3x-4x-7*5+1*5=0
We add all the numbers together, and all the variables
-1x-30=0
We move all terms containing x to the left, all other terms to the right
-x=30
x=30/-1
x=-30
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