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Simplifying (0.10)(30 + -1X) + 0.40X = (0.30)(30) (30 * 0.10 + -1X * 0.10) + 0.40X = (0.30)(30) (3 + -0.1X) + 0.40X = (0.30)(30) Combine like terms: -0.1X + 0.40X = 0.3X 3 + 0.3X = (0.30)(30) Multiply 0.30 * 30 3 + 0.3X = 9 Solving 3 + 0.3X = 9 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 0.3X = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 0.3X = 9 + -3 0.3X = 9 + -3 Combine like terms: 9 + -3 = 6 0.3X = 6 Divide each side by '0.3'. X = 20 Simplifying X = 20
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