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4x+5=-3x-30
We move all terms to the left:
4x+5-(-3x-30)=0
We get rid of parentheses
4x+3x+30+5=0
We add all the numbers together, and all the variables
7x+35=0
We move all terms containing x to the left, all other terms to the right
7x=-35
x=-35/7
x=-5
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