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Simplifying 0.10x + 0.05(14 + -1x) = 0.10(15) 0.10x + (14 * 0.05 + -1x * 0.05) = 0.10(15) 0.10x + (0.7 + -0.05x) = 0.10(15) Reorder the terms: 0.7 + 0.10x + -0.05x = 0.10(15) Combine like terms: 0.10x + -0.05x = 0.05x 0.7 + 0.05x = 0.10(15) Multiply 0.10 * 15 0.7 + 0.05x = 1.5 Solving 0.7 + 0.05x = 1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.05x = 1.5 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.05x = 1.5 + -0.7 0.05x = 1.5 + -0.7 Combine like terms: 1.5 + -0.7 = 0.8 0.05x = 0.8 Divide each side by '0.05'. x = 16 Simplifying x = 16
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