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5\times 7x+4\times 5x=1360
Multiply both sides of the equation by 20, the least common multiple of 4,5.
35x+4\times 5x=1360
Multiply 5 and 7 to get 35.
35x+20x=1360
Multiply 4 and 5 to get 20.
55x=1360
Combine 35x and 20x to get 55x.
x=\frac{1360}{55}
Divide both sides by 55.
x=\frac{272}{11}
Reduce the fraction \frac{1360}{55} to lowest terms by extracting and canceling out 5.