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Simplifying 0.18 = x * 0.1 + (1 + -1x) * 0.2 Reorder the terms for easier multiplication: 0.18 = 0.1x + (1 + -1x) * 0.2 Reorder the terms for easier multiplication: 0.18 = 0.1x + 0.2(1 + -1x) 0.18 = 0.1x + (1 * 0.2 + -1x * 0.2) 0.18 = 0.1x + (0.2 + -0.2x) Reorder the terms: 0.18 = 0.2 + 0.1x + -0.2x Combine like terms: 0.1x + -0.2x = -0.1x 0.18 = 0.2 + -0.1x Solving 0.18 = 0.2 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 0.18 + 0.1x = 0.2 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 0.18 + 0.1x = 0.2 + 0.0 0.18 + 0.1x = 0.2 Add '-0.18' to each side of the equation. 0.18 + -0.18 + 0.1x = 0.2 + -0.18 Combine like terms: 0.18 + -0.18 = 0.00 0.00 + 0.1x = 0.2 + -0.18 0.1x = 0.2 + -0.18 Combine like terms: 0.2 + -0.18 = 0.02 0.1x = 0.02 Divide each side by '0.1'. x = 0.2 Simplifying x = 0.2
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