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96=x\times 500+x\left(-49\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
96=451x
Combine x\times 500 and x\left(-49\right) to get 451x.
451x=96
Swap sides so that all variable terms are on the left hand side.
x=\frac{96}{451}
Divide both sides by 451.