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5x=-4x-7
We move all terms to the left:
5x-(-4x-7)=0
We get rid of parentheses
5x+4x+7=0
We add all the numbers together, and all the variables
9x+7=0
We move all terms containing x to the left, all other terms to the right
9x=-7
x=-7/9
x=-7/9
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