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Simplifying 500 = 200(1 + x) * 5 Reorder the terms for easier multiplication: 500 = 200 * 5(1 + x) Multiply 200 * 5 500 = 1000(1 + x) 500 = (1 * 1000 + x * 1000) 500 = (1000 + 1000x) Solving 500 = 1000 + 1000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1000x' to each side of the equation. 500 + -1000x = 1000 + 1000x + -1000x Combine like terms: 1000x + -1000x = 0 500 + -1000x = 1000 + 0 500 + -1000x = 1000 Add '-500' to each side of the equation. 500 + -500 + -1000x = 1000 + -500 Combine like terms: 500 + -500 = 0 0 + -1000x = 1000 + -500 -1000x = 1000 + -500 Combine like terms: 1000 + -500 = 500 -1000x = 500 Divide each side by '-1000'. x = -0.5 Simplifying x = -0.5
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