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4x+25=-2x+1
We move all terms to the left:
4x+25-(-2x+1)=0
We get rid of parentheses
4x+2x-1+25=0
We add all the numbers together, and all the variables
6x+24=0
We move all terms containing x to the left, all other terms to the right
6x=-24
x=-24/6
x=-4
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