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7\times 340=5x
Multiply both sides of the equation by 3500, the least common multiple of 500,700.
2380=5x
Multiply 7 and 340 to get 2380.
5x=2380
Swap sides so that all variable terms are on the left hand side.
x=\frac{2380}{5}
Divide both sides by 5.
x=476
Divide 2380 by 5 to get 476.