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Simplifying 150X + -100X + 38600 = 40400 + -150X Reorder the terms: 38600 + 150X + -100X = 40400 + -150X Combine like terms: 150X + -100X = 50X 38600 + 50X = 40400 + -150X Solving 38600 + 50X = 40400 + -150X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '150X' to each side of the equation. 38600 + 50X + 150X = 40400 + -150X + 150X Combine like terms: 50X + 150X = 200X 38600 + 200X = 40400 + -150X + 150X Combine like terms: -150X + 150X = 0 38600 + 200X = 40400 + 0 38600 + 200X = 40400 Add '-38600' to each side of the equation. 38600 + -38600 + 200X = 40400 + -38600 Combine like terms: 38600 + -38600 = 0 0 + 200X = 40400 + -38600 200X = 40400 + -38600 Combine like terms: 40400 + -38600 = 1800 200X = 1800 Divide each side by '200'. X = 9 Simplifying X = 9
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