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Simplifying 2(X + 1) + -3X + 4 = 8X + -5(X + -1) Reorder the terms: 2(1 + X) + -3X + 4 = 8X + -5(X + -1) (1 * 2 + X * 2) + -3X + 4 = 8X + -5(X + -1) (2 + 2X) + -3X + 4 = 8X + -5(X + -1) Reorder the terms: 2 + 4 + 2X + -3X = 8X + -5(X + -1) Combine like terms: 2 + 4 = 6 6 + 2X + -3X = 8X + -5(X + -1) Combine like terms: 2X + -3X = -1X 6 + -1X = 8X + -5(X + -1) Reorder the terms: 6 + -1X = 8X + -5(-1 + X) 6 + -1X = 8X + (-1 * -5 + X * -5) 6 + -1X = 8X + (5 + -5X) Reorder the terms: 6 + -1X = 5 + 8X + -5X Combine like terms: 8X + -5X = 3X 6 + -1X = 5 + 3X Solving 6 + -1X = 5 + 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. 6 + -1X + -3X = 5 + 3X + -3X Combine like terms: -1X + -3X = -4X 6 + -4X = 5 + 3X + -3X Combine like terms: 3X + -3X = 0 6 + -4X = 5 + 0 6 + -4X = 5 Add '-6' to each side of the equation. 6 + -6 + -4X = 5 + -6 Combine like terms: 6 + -6 = 0 0 + -4X = 5 + -6 -4X = 5 + -6 Combine like terms: 5 + -6 = -1 -4X = -1 Divide each side by '-4'. X = 0.25 Simplifying X = 0.25
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