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4x-1=9-6x
We move all terms to the left:
4x-1-(9-6x)=0
We add all the numbers together, and all the variables
4x-(-6x+9)-1=0
We get rid of parentheses
4x+6x-9-1=0
We add all the numbers together, and all the variables
10x-10=0
We move all terms containing x to the left, all other terms to the right
10x=10
x=10/10
x=1
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