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9x+6x+13x=234
Multiply both sides of the equation by 234, the least common multiple of 26,39,18.
15x+13x=234
Combine 9x and 6x to get 15x.
28x=234
Combine 15x and 13x to get 28x.
x=\frac{234}{28}
Divide both sides by 28.
x=\frac{117}{14}
Reduce the fraction \frac{234}{28} to lowest terms by extracting and canceling out 2.