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4x+1=9x+8
We move all terms to the left:
4x+1-(9x+8)=0
We get rid of parentheses
4x-9x-8+1=0
We add all the numbers together, and all the variables
-5x-7=0
We move all terms containing x to the left, all other terms to the right
-5x=7
x=7/-5
x=-1+2/5
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