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Simplifying 2[X + 2] + -1X = 3[X + 1] + 9 Reorder the terms: 2[2 + X] + -1X = 3[X + 1] + 9 [2 * 2 + X * 2] + -1X = 3[X + 1] + 9 [4 + 2X] + -1X = 3[X + 1] + 9 Combine like terms: 2X + -1X = 1X 4 + 1X = 3[X + 1] + 9 Reorder the terms: 4 + 1X = 3[1 + X] + 9 4 + 1X = [1 * 3 + X * 3] + 9 4 + 1X = [3 + 3X] + 9 Reorder the terms: 4 + 1X = 3 + 9 + 3X Combine like terms: 3 + 9 = 12 4 + 1X = 12 + 3X Solving 4 + 1X = 12 + 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. 4 + 1X + -3X = 12 + 3X + -3X Combine like terms: 1X + -3X = -2X 4 + -2X = 12 + 3X + -3X Combine like terms: 3X + -3X = 0 4 + -2X = 12 + 0 4 + -2X = 12 Add '-4' to each side of the equation. 4 + -4 + -2X = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -2X = 12 + -4 -2X = 12 + -4 Combine like terms: 12 + -4 = 8 -2X = 8 Divide each side by '-2'. X = -4 Simplifying X = -4
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