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6x+3=102-3x
We move all terms to the left:
6x+3-(102-3x)=0
We add all the numbers together, and all the variables
6x-(-3x+102)+3=0
We get rid of parentheses
6x+3x-102+3=0
We add all the numbers together, and all the variables
9x-99=0
We move all terms containing x to the left, all other terms to the right
9x=99
x=99/9
x=11
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