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Simplifying x = 0.99(0.01 + x) x = (0.01 * 0.99 + x * 0.99) x = (0.0099 + 0.99x) Solving x = 0.0099 + 0.99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.99x' to each side of the equation. x + -0.99x = 0.0099 + 0.99x + -0.99x Combine like terms: x + -0.99x = 0.01x 0.01x = 0.0099 + 0.99x + -0.99x Combine like terms: 0.99x + -0.99x = 0.00 0.01x = 0.0099 + 0.00 0.01x = 0.0099 Divide each side by '0.01'. x = 0.99 Simplifying x = 0.99
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