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35x-5\times 3x-7\times 2x=2520
Multiply both sides of the equation by 35, the least common multiple of 7,5.
35x-15x-7\times 2x=2520
Multiply -5 and 3 to get -15.
20x-7\times 2x=2520
Combine 35x and -15x to get 20x.
20x-14x=2520
Multiply -7 and 2 to get -14.
6x=2520
Combine 20x and -14x to get 6x.
x=\frac{2520}{6}
Divide both sides by 6.
x=420
Divide 2520 by 6 to get 420.