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Simplifying x(1 + 0.1)(1 + -0.1) = x + -500 Combine like terms: 1 + 0.1 = 1.1 x(1.1)(1 + -0.1) = x + -500 Combine like terms: 1 + -0.1 = 0.9 x * 1.1(0.9) = x + -500 Reorder the terms for easier multiplication: 1.1 * 0.9x = x + -500 Multiply 1.1 * 0.9 0.99x = x + -500 Reorder the terms: 0.99x = -500 + x Solving 0.99x = -500 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.99x + -1x = -500 + x + -1x Combine like terms: 0.99x + -1x = -0.01x -0.01x = -500 + x + -1x Combine like terms: x + -1x = 0 -0.01x = -500 + 0 -0.01x = -500 Divide each side by '-0.01'. x = 50000 Simplifying x = 50000
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