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5x+4=-10x+3
We move all terms to the left:
5x+4-(-10x+3)=0
We get rid of parentheses
5x+10x-3+4=0
We add all the numbers together, and all the variables
15x+1=0
We move all terms containing x to the left, all other terms to the right
15x=-1
x=-1/15
x=-1/15
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