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Simplifying 6(2X + 5) + -1(3 + -5X) = 0 Reorder the terms: 6(5 + 2X) + -1(3 + -5X) = 0 (5 * 6 + 2X * 6) + -1(3 + -5X) = 0 (30 + 12X) + -1(3 + -5X) = 0 30 + 12X + (3 * -1 + -5X * -1) = 0 30 + 12X + (-3 + 5X) = 0 Reorder the terms: 30 + -3 + 12X + 5X = 0 Combine like terms: 30 + -3 = 27 27 + 12X + 5X = 0 Combine like terms: 12X + 5X = 17X 27 + 17X = 0 Solving 27 + 17X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 17X = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 17X = 0 + -27 17X = 0 + -27 Combine like terms: 0 + -27 = -27 17X = -27 Divide each side by '17'. X = -1.588235294 Simplifying X = -1.588235294
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