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Simplifying 0.20x + 0.05(16 + -1x) = 0.10(14) 0.20x + (16 * 0.05 + -1x * 0.05) = 0.10(14) 0.20x + (0.8 + -0.05x) = 0.10(14) Reorder the terms: 0.8 + 0.20x + -0.05x = 0.10(14) Combine like terms: 0.20x + -0.05x = 0.15x 0.8 + 0.15x = 0.10(14) Multiply 0.10 * 14 0.8 + 0.15x = 1.4 Solving 0.8 + 0.15x = 1.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.15x = 1.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.15x = 1.4 + -0.8 0.15x = 1.4 + -0.8 Combine like terms: 1.4 + -0.8 = 0.6 0.15x = 0.6 Divide each side by '0.15'. x = 4 Simplifying x = 4
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