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65\times 120=11\times 100x
Multiply both sides of the equation by 1430, the least common multiple of 22,130.
7800=11\times 100x
Multiply 65 and 120 to get 7800.
7800=1100x
Multiply 11 and 100 to get 1100.
1100x=7800
Swap sides so that all variable terms are on the left hand side.
x=\frac{7800}{1100}
Divide both sides by 1100.
x=\frac{78}{11}
Reduce the fraction \frac{7800}{1100} to lowest terms by extracting and canceling out 100.