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Simplifying (1 + x)(0.20) + -1x(0.10) = 0.26 Reorder the terms for easier multiplication: 0.20(1 + x) + -1x(0.10) = 0.26 (1 * 0.20 + x * 0.20) + -1x(0.10) = 0.26 (0.2 + 0.20x) + -1x(0.10) = 0.26 Reorder the terms for easier multiplication: 0.2 + 0.20x + -1 * 0.10x = 0.26 Multiply -1 * 0.10 0.2 + 0.20x + -0.1x = 0.26 Combine like terms: 0.20x + -0.1x = 0.1x 0.2 + 0.1x = 0.26 Solving 0.2 + 0.1x = 0.26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.1x = 0.26 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.1x = 0.26 + -0.2 0.1x = 0.26 + -0.2 Combine like terms: 0.26 + -0.2 = 0.06 0.1x = 0.06 Divide each side by '0.1'. x = 0.6 Simplifying x = 0.6
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