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5x+1=-3x-9
We move all terms to the left:
5x+1-(-3x-9)=0
We get rid of parentheses
5x+3x+9+1=0
We add all the numbers together, and all the variables
8x+10=0
We move all terms containing x to the left, all other terms to the right
8x=-10
x=-10/8
x=-1+1/4
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