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Simplifying 0.20(x + 2) + 0.05(10 + -1x) = 1.4 Reorder the terms: 0.20(2 + x) + 0.05(10 + -1x) = 1.4 (2 * 0.20 + x * 0.20) + 0.05(10 + -1x) = 1.4 (0.4 + 0.20x) + 0.05(10 + -1x) = 1.4 0.4 + 0.20x + (10 * 0.05 + -1x * 0.05) = 1.4 0.4 + 0.20x + (0.5 + -0.05x) = 1.4 Reorder the terms: 0.4 + 0.5 + 0.20x + -0.05x = 1.4 Combine like terms: 0.4 + 0.5 = 0.9 0.9 + 0.20x + -0.05x = 1.4 Combine like terms: 0.20x + -0.05x = 0.15x 0.9 + 0.15x = 1.4 Solving 0.9 + 0.15x = 1.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.15x = 1.4 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.15x = 1.4 + -0.9 0.15x = 1.4 + -0.9 Combine like terms: 1.4 + -0.9 = 0.5 0.15x = 0.5 Divide each side by '0.15'. x = 3.333333333 Simplifying x = 3.333333333
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