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150x+5000-50x=10000
Use the distributive property to multiply 50 by 100-x.
100x+5000=10000
Combine 150x and -50x to get 100x.
100x=10000-5000
Subtract 5000 from both sides.
100x=5000
Subtract 5000 from 10000 to get 5000.
x=\frac{5000}{100}
Divide both sides by 100.
x=50
Divide 5000 by 100 to get 50.