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Simplifying 0.20 = 0.3x + 0.1(1 + -1x) 0.20 = 0.3x + (1 * 0.1 + -1x * 0.1) 0.20 = 0.3x + (0.1 + -0.1x) Reorder the terms: 0.20 = 0.1 + 0.3x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x 0.20 = 0.1 + 0.2x Solving 0.20 = 0.1 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.20 + -0.2x = 0.1 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.20 + -0.2x = 0.1 + 0.0 0.20 + -0.2x = 0.1 Add '-0.20' to each side of the equation. 0.20 + -0.20 + -0.2x = 0.1 + -0.20 Combine like terms: 0.20 + -0.20 = 0.00 0.00 + -0.2x = 0.1 + -0.20 -0.2x = 0.1 + -0.20 Combine like terms: 0.1 + -0.20 = -0.1 -0.2x = -0.1 Divide each side by '-0.2'. x = 0.5 Simplifying x = 0.5
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