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10x+540-20x=178
Use the distributive property to multiply 20 by 27-x.
-10x+540=178
Combine 10x and -20x to get -10x.
-10x=178-540
Subtract 540 from both sides.
-10x=-362
Subtract 540 from 178 to get -362.
x=\frac{-362}{-10}
Divide both sides by -10.
x=\frac{181}{5}
Reduce the fraction \frac{-362}{-10} to lowest terms by extracting and canceling out -2.