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Simplifying 12 + -1(3X + -1) = -5(X + 1) Reorder the terms: 12 + -1(-1 + 3X) = -5(X + 1) 12 + (-1 * -1 + 3X * -1) = -5(X + 1) 12 + (1 + -3X) = -5(X + 1) Combine like terms: 12 + 1 = 13 13 + -3X = -5(X + 1) Reorder the terms: 13 + -3X = -5(1 + X) 13 + -3X = (1 * -5 + X * -5) 13 + -3X = (-5 + -5X) Solving 13 + -3X = -5 + -5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5X' to each side of the equation. 13 + -3X + 5X = -5 + -5X + 5X Combine like terms: -3X + 5X = 2X 13 + 2X = -5 + -5X + 5X Combine like terms: -5X + 5X = 0 13 + 2X = -5 + 0 13 + 2X = -5 Add '-13' to each side of the equation. 13 + -13 + 2X = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 2X = -5 + -13 2X = -5 + -13 Combine like terms: -5 + -13 = -18 2X = -18 Divide each side by '2'. X = -9 Simplifying X = -9
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