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