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Simplifying 5(X + 3) + 2 + -3(X + -1) = 0 Reorder the terms: 5(3 + X) + 2 + -3(X + -1) = 0 (3 * 5 + X * 5) + 2 + -3(X + -1) = 0 (15 + 5X) + 2 + -3(X + -1) = 0 Reorder the terms: 15 + 5X + 2 + -3(-1 + X) = 0 15 + 5X + 2 + (-1 * -3 + X * -3) = 0 15 + 5X + 2 + (3 + -3X) = 0 Reorder the terms: 15 + 2 + 3 + 5X + -3X = 0 Combine like terms: 15 + 2 = 17 17 + 3 + 5X + -3X = 0 Combine like terms: 17 + 3 = 20 20 + 5X + -3X = 0 Combine like terms: 5X + -3X = 2X 20 + 2X = 0 Solving 20 + 2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2X = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2X = 0 + -20 2X = 0 + -20 Combine like terms: 0 + -20 = -20 2X = -20 Divide each side by '2'. X = -10 Simplifying X = -10
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