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Simplifying 0.45X + 0.05(16 + -1X) = 0.10(48) 0.45X + (16 * 0.05 + -1X * 0.05) = 0.10(48) 0.45X + (0.8 + -0.05X) = 0.10(48) Reorder the terms: 0.8 + 0.45X + -0.05X = 0.10(48) Combine like terms: 0.45X + -0.05X = 0.4X 0.8 + 0.4X = 0.10(48) Multiply 0.10 * 48 0.8 + 0.4X = 4.8 Solving 0.8 + 0.4X = 4.8 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 + 0.4X = 4.8 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.4X = 4.8 + -0.8 0.4X = 4.8 + -0.8 Combine like terms: 4.8 + -0.8 = 4 0.4X = 4 Divide each side by '0.4'. X = 10 Simplifying X = 10
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