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9x+1=-3x+5
We move all terms to the left:
9x+1-(-3x+5)=0
We get rid of parentheses
9x+3x-5+1=0
We add all the numbers together, and all the variables
12x-4=0
We move all terms containing x to the left, all other terms to the right
12x=4
x=4/12
x=1/3
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