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Simplifying 0.45X + 0.05(6 + -1X) = 0.1(75) 0.45X + (6 * 0.05 + -1X * 0.05) = 0.1(75) 0.45X + (0.3 + -0.05X) = 0.1(75) Reorder the terms: 0.3 + 0.45X + -0.05X = 0.1(75) Combine like terms: 0.45X + -0.05X = 0.4X 0.3 + 0.4X = 0.1(75) Multiply 0.1 * 75 0.3 + 0.4X = 7.5 Solving 0.3 + 0.4X = 7.5 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.4X = 7.5 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.4X = 7.5 + -0.3 0.4X = 7.5 + -0.3 Combine like terms: 7.5 + -0.3 = 7.2 0.4X = 7.2 Divide each side by '0.4'. X = 18 Simplifying X = 18
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