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3x-6+27=54x
Multiply both sides of the equation by 3.
3x+21=54x
Add -6 and 27 to get 21.
3x+21-54x=0
Subtract 54x from both sides.
-51x+21=0
Combine 3x and -54x to get -51x.
-51x=-21
Subtract 21 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-21}{-51}
Divide both sides by -51.
x=\frac{7}{17}
Reduce the fraction \frac{-21}{-51} to lowest terms by extracting and canceling out -3.