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15\times 5x+70x+210x=84-735x
Multiply both sides of the equation by 105, the least common multiple of 7,3,5.
75x+70x+210x=84-735x
Multiply 15 and 5 to get 75.
145x+210x=84-735x
Combine 75x and 70x to get 145x.
355x=84-735x
Combine 145x and 210x to get 355x.
355x+735x=84
Add 735x to both sides.
1090x=84
Combine 355x and 735x to get 1090x.
x=\frac{84}{1090}
Divide both sides by 1090.
x=\frac{42}{545}
Reduce the fraction \frac{84}{1090} to lowest terms by extracting and canceling out 2.