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3x+50=-4x+1
We move all terms to the left:
3x+50-(-4x+1)=0
We get rid of parentheses
3x+4x-1+50=0
We add all the numbers together, and all the variables
7x+49=0
We move all terms containing x to the left, all other terms to the right
7x=-49
x=-49/7
x=-7
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