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2x+45=4x-6
We move all terms to the left:
2x+45-(4x-6)=0
We get rid of parentheses
2x-4x+6+45=0
We add all the numbers together, and all the variables
-2x+51=0
We move all terms containing x to the left, all other terms to the right
-2x=-51
x=-51/-2
x=25+1/2
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