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10x+150+\left(60-x\right)\times 10\times 50=84000
Multiply both sides of the equation by 100.
10x+150+\left(60-x\right)\times 500=84000
Multiply 10 and 50 to get 500.
10x+150+30000-500x=84000
Use the distributive property to multiply 60-x by 500.
10x+30150-500x=84000
Add 150 and 30000 to get 30150.
-490x+30150=84000
Combine 10x and -500x to get -490x.
-490x=84000-30150
Subtract 30150 from both sides.
-490x=53850
Subtract 30150 from 84000 to get 53850.
x=\frac{53850}{-490}
Divide both sides by -490.
x=-\frac{5385}{49}
Reduce the fraction \frac{53850}{-490} to lowest terms by extracting and canceling out 10.