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30x=1\times 36+14
Multiply both sides of the equation by 36, the least common multiple of 6,36.
30x=36+14
Multiply 1 and 36 to get 36.
30x=50
Add 36 and 14 to get 50.
x=\frac{50}{30}
Divide both sides by 30.
x=\frac{5}{3}
Reduce the fraction \frac{50}{30} to lowest terms by extracting and canceling out 10.