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5x+14=-4x+4
We move all terms to the left:
5x+14-(-4x+4)=0
We get rid of parentheses
5x+4x-4+14=0
We add all the numbers together, and all the variables
9x+10=0
We move all terms containing x to the left, all other terms to the right
9x=-10
x=-10/9
x=-1+1/9
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