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Simplifying (3X + 5) + (2X + -1) = (X + -2) + -1(3X + -4) Reorder the terms: (5 + 3X) + (2X + -1) = (X + -2) + -1(3X + -4) Remove parenthesis around (5 + 3X) 5 + 3X + (2X + -1) = (X + -2) + -1(3X + -4) Reorder the terms: 5 + 3X + (-1 + 2X) = (X + -2) + -1(3X + -4) Remove parenthesis around (-1 + 2X) 5 + 3X + -1 + 2X = (X + -2) + -1(3X + -4) Reorder the terms: 5 + -1 + 3X + 2X = (X + -2) + -1(3X + -4) Combine like terms: 5 + -1 = 4 4 + 3X + 2X = (X + -2) + -1(3X + -4) Combine like terms: 3X + 2X = 5X 4 + 5X = (X + -2) + -1(3X + -4) Reorder the terms: 4 + 5X = (-2 + X) + -1(3X + -4) Remove parenthesis around (-2 + X) 4 + 5X = -2 + X + -1(3X + -4) Reorder the terms: 4 + 5X = -2 + X + -1(-4 + 3X) 4 + 5X = -2 + X + (-4 * -1 + 3X * -1) 4 + 5X = -2 + X + (4 + -3X) Reorder the terms: 4 + 5X = -2 + 4 + X + -3X Combine like terms: -2 + 4 = 2 4 + 5X = 2 + X + -3X Combine like terms: X + -3X = -2X 4 + 5X = 2 + -2X Solving 4 + 5X = 2 + -2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. 4 + 5X + 2X = 2 + -2X + 2X Combine like terms: 5X + 2X = 7X 4 + 7X = 2 + -2X + 2X Combine like terms: -2X + 2X = 0 4 + 7X = 2 + 0 4 + 7X = 2 Add '-4' to each side of the equation. 4 + -4 + 7X = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 7X = 2 + -4 7X = 2 + -4 Combine like terms: 2 + -4 = -2 7X = -2 Divide each side by '7'. X = -0.2857142857 Simplifying X = -0.2857142857
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