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Simplifying 16000 = 400(1 + x) * 50 Reorder the terms for easier multiplication: 16000 = 400 * 50(1 + x) Multiply 400 * 50 16000 = 20000(1 + x) 16000 = (1 * 20000 + x * 20000) 16000 = (20000 + 20000x) Solving 16000 = 20000 + 20000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20000x' to each side of the equation. 16000 + -20000x = 20000 + 20000x + -20000x Combine like terms: 20000x + -20000x = 0 16000 + -20000x = 20000 + 0 16000 + -20000x = 20000 Add '-16000' to each side of the equation. 16000 + -16000 + -20000x = 20000 + -16000 Combine like terms: 16000 + -16000 = 0 0 + -20000x = 20000 + -16000 -20000x = 20000 + -16000 Combine like terms: 20000 + -16000 = 4000 -20000x = 4000 Divide each side by '-20000'. x = -0.2 Simplifying x = -0.2
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