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4x+6=9-5x
We move all terms to the left:
4x+6-(9-5x)=0
We add all the numbers together, and all the variables
4x-(-5x+9)+6=0
We get rid of parentheses
4x+5x-9+6=0
We add all the numbers together, and all the variables
9x-3=0
We move all terms containing x to the left, all other terms to the right
9x=3
x=3/9
x=1/3
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