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Simplifying 0.3(X + 15) + 0.6(X + 25) = 33 Reorder the terms: 0.3(15 + X) + 0.6(X + 25) = 33 (15 * 0.3 + X * 0.3) + 0.6(X + 25) = 33 (4.5 + 0.3X) + 0.6(X + 25) = 33 Reorder the terms: 4.5 + 0.3X + 0.6(25 + X) = 33 4.5 + 0.3X + (25 * 0.6 + X * 0.6) = 33 4.5 + 0.3X + (15 + 0.6X) = 33 Reorder the terms: 4.5 + 15 + 0.3X + 0.6X = 33 Combine like terms: 4.5 + 15 = 19.5 19.5 + 0.3X + 0.6X = 33 Combine like terms: 0.3X + 0.6X = 0.9X 19.5 + 0.9X = 33 Solving 19.5 + 0.9X = 33 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-19.5' to each side of the equation. 19.5 + -19.5 + 0.9X = 33 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + 0.9X = 33 + -19.5 0.9X = 33 + -19.5 Combine like terms: 33 + -19.5 = 13.5 0.9X = 13.5 Divide each side by '0.9'. X = 15 Simplifying X = 15
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