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Simplifying -1[11X + -1(3X + 3)] = -6 + -1[4(3X + -3) + -2X] Reorder the terms: -1[11X + -1(3 + 3X)] = -6 + -1[4(3X + -3) + -2X] -1[11X + (3 * -1 + 3X * -1)] = -6 + -1[4(3X + -3) + -2X] -1[11X + (-3 + -3X)] = -6 + -1[4(3X + -3) + -2X] Reorder the terms: -1[-3 + 11X + -3X] = -6 + -1[4(3X + -3) + -2X] Combine like terms: 11X + -3X = 8X -1[-3 + 8X] = -6 + -1[4(3X + -3) + -2X] [-3 * -1 + 8X * -1] = -6 + -1[4(3X + -3) + -2X] [3 + -8X] = -6 + -1[4(3X + -3) + -2X] Reorder the terms: 3 + -8X = -6 + -1[4(-3 + 3X) + -2X] 3 + -8X = -6 + -1[(-3 * 4 + 3X * 4) + -2X] 3 + -8X = -6 + -1[(-12 + 12X) + -2X] Combine like terms: 12X + -2X = 10X 3 + -8X = -6 + -1[-12 + 10X] 3 + -8X = -6 + [-12 * -1 + 10X * -1] 3 + -8X = -6 + [12 + -10X] Combine like terms: -6 + 12 = 6 3 + -8X = 6 + -10X Solving 3 + -8X = 6 + -10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10X' to each side of the equation. 3 + -8X + 10X = 6 + -10X + 10X Combine like terms: -8X + 10X = 2X 3 + 2X = 6 + -10X + 10X Combine like terms: -10X + 10X = 0 3 + 2X = 6 + 0 3 + 2X = 6 Add '-3' to each side of the equation. 3 + -3 + 2X = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 2X = 6 + -3 2X = 6 + -3 Combine like terms: 6 + -3 = 3 2X = 3 Divide each side by '2'. X = 1.5 Simplifying X = 1.5
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