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Simplifying 0.45X + 0.05(8 + -1X) = 0.10(-20) 0.45X + (8 * 0.05 + -1X * 0.05) = 0.10(-20) 0.45X + (0.4 + -0.05X) = 0.10(-20) Reorder the terms: 0.4 + 0.45X + -0.05X = 0.10(-20) Combine like terms: 0.45X + -0.05X = 0.4X 0.4 + 0.4X = 0.10(-20) Multiply 0.10 * -20 0.4 + 0.4X = -2 Solving 0.4 + 0.4X = -2 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 + 0.4X = -2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.4X = -2 + -0.4 0.4X = -2 + -0.4 Combine like terms: -2 + -0.4 = -2.4 0.4X = -2.4 Divide each side by '0.4'. X = -6 Simplifying X = -6
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