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12x=350^{2}
Combine 5x and 7x to get 12x.
12x=122500
Calculate 350 to the power of 2 and get 122500.
x=\frac{122500}{12}
Divide both sides by 12.
x=\frac{30625}{3}
Reduce the fraction \frac{122500}{12} to lowest terms by extracting and canceling out 4.