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11\times 2x-21=77
Multiply both sides of the equation by 77, the least common multiple of 7,11.
22x-21=77
Multiply 11 and 2 to get 22.
22x=77+21
Add 21 to both sides.
22x=98
Add 77 and 21 to get 98.
x=\frac{98}{22}
Divide both sides by 22.
x=\frac{49}{11}
Reduce the fraction \frac{98}{22} to lowest terms by extracting and canceling out 2.