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-27=196\times 30x
Multiply both sides of the equation by 5292, the least common multiple of -196,27.
-27=5880x
Multiply 196 and 30 to get 5880.
5880x=-27
Swap sides so that all variable terms are on the left hand side.
x=\frac{-27}{5880}
Divide both sides by 5880.
x=-\frac{9}{1960}
Reduce the fraction \frac{-27}{5880} to lowest terms by extracting and canceling out 3.