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3x-27+6x=0
Add 6x to both sides.
9x-27=0
Combine 3x and 6x to get 9x.
9x=27
Add 27 to both sides. Anything plus zero gives itself.
x=\frac{27}{9}
Divide both sides by 9.
x=3
Divide 27 by 9 to get 3.