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4x+1=2x+46
We move all terms to the left:
4x+1-(2x+46)=0
We get rid of parentheses
4x-2x-46+1=0
We add all the numbers together, and all the variables
2x-45=0
We move all terms containing x to the left, all other terms to the right
2x=45
x=45/2
x=22+1/2
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