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Simplifying 0.20x + 0.05(8 + -1x) = 0.10(13) 0.20x + (8 * 0.05 + -1x * 0.05) = 0.10(13) 0.20x + (0.4 + -0.05x) = 0.10(13) Reorder the terms: 0.4 + 0.20x + -0.05x = 0.10(13) Combine like terms: 0.20x + -0.05x = 0.15x 0.4 + 0.15x = 0.10(13) Multiply 0.10 * 13 0.4 + 0.15x = 1.3 Solving 0.4 + 0.15x = 1.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.15x = 1.3 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.15x = 1.3 + -0.4 0.15x = 1.3 + -0.4 Combine like terms: 1.3 + -0.4 = 0.9 0.15x = 0.9 Divide each side by '0.15'. x = 6 Simplifying x = 6
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