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Simplifying -4X + 5 + -5(X + -1) = -1(3X + -4) + -5X + 5 Reorder the terms: -4X + 5 + -5(-1 + X) = -1(3X + -4) + -5X + 5 -4X + 5 + (-1 * -5 + X * -5) = -1(3X + -4) + -5X + 5 -4X + 5 + (5 + -5X) = -1(3X + -4) + -5X + 5 Reorder the terms: 5 + 5 + -4X + -5X = -1(3X + -4) + -5X + 5 Combine like terms: 5 + 5 = 10 10 + -4X + -5X = -1(3X + -4) + -5X + 5 Combine like terms: -4X + -5X = -9X 10 + -9X = -1(3X + -4) + -5X + 5 Reorder the terms: 10 + -9X = -1(-4 + 3X) + -5X + 5 10 + -9X = (-4 * -1 + 3X * -1) + -5X + 5 10 + -9X = (4 + -3X) + -5X + 5 Reorder the terms: 10 + -9X = 4 + 5 + -3X + -5X Combine like terms: 4 + 5 = 9 10 + -9X = 9 + -3X + -5X Combine like terms: -3X + -5X = -8X 10 + -9X = 9 + -8X Solving 10 + -9X = 9 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. 10 + -9X + 8X = 9 + -8X + 8X Combine like terms: -9X + 8X = -1X 10 + -1X = 9 + -8X + 8X Combine like terms: -8X + 8X = 0 10 + -1X = 9 + 0 10 + -1X = 9 Add '-10' to each side of the equation. 10 + -10 + -1X = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -1X = 9 + -10 -1X = 9 + -10 Combine like terms: 9 + -10 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1
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