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702\times 140x=701\left(14x+1\right)
Multiply both sides of the equation by 984204, the least common multiple of 1402,1404.
98280x=701\left(14x+1\right)
Multiply 702 and 140 to get 98280.
98280x=9814x+701
Use the distributive property to multiply 701 by 14x+1.
98280x-9814x=701
Subtract 9814x from both sides.
88466x=701
Combine 98280x and -9814x to get 88466x.
x=\frac{701}{88466}
Divide both sides by 88466.