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4(x+5)=3x+1
We move all terms to the left:
4(x+5)-(3x+1)=0
We multiply parentheses
4x-(3x+1)+20=0
We get rid of parentheses
4x-3x-1+20=0
We add all the numbers together, and all the variables
x+19=0
We move all terms containing x to the left, all other terms to the right
x=-19
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