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Simplifying 3(5X + -2) + 2(17 + -5X) + -2(2X + 1) = -1 Reorder the terms: 3(-2 + 5X) + 2(17 + -5X) + -2(2X + 1) = -1 (-2 * 3 + 5X * 3) + 2(17 + -5X) + -2(2X + 1) = -1 (-6 + 15X) + 2(17 + -5X) + -2(2X + 1) = -1 -6 + 15X + (17 * 2 + -5X * 2) + -2(2X + 1) = -1 -6 + 15X + (34 + -10X) + -2(2X + 1) = -1 Reorder the terms: -6 + 15X + 34 + -10X + -2(1 + 2X) = -1 -6 + 15X + 34 + -10X + (1 * -2 + 2X * -2) = -1 -6 + 15X + 34 + -10X + (-2 + -4X) = -1 Reorder the terms: -6 + 34 + -2 + 15X + -10X + -4X = -1 Combine like terms: -6 + 34 = 28 28 + -2 + 15X + -10X + -4X = -1 Combine like terms: 28 + -2 = 26 26 + 15X + -10X + -4X = -1 Combine like terms: 15X + -10X = 5X 26 + 5X + -4X = -1 Combine like terms: 5X + -4X = 1X 26 + 1X = -1 Solving 26 + 1X = -1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 1X = -1 + -26 Combine like terms: 26 + -26 = 0 0 + 1X = -1 + -26 1X = -1 + -26 Combine like terms: -1 + -26 = -27 1X = -27 Divide each side by '1'. X = -27 Simplifying X = -27
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