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4x-9=7x-2=
We move all terms to the left:
4x-9-(7x-2)=0
We get rid of parentheses
4x-7x+2-9=0
We add all the numbers together, and all the variables
-3x-7=0
We move all terms containing x to the left, all other terms to the right
-3x=7
x=7/-3
x=-2+1/3
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