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Simplifying -1[11X + -1(3X + 6)] = -3[4(3X + -4) + -2X] Reorder the terms: -1[11X + -1(6 + 3X)] = -3[4(3X + -4) + -2X] -1[11X + (6 * -1 + 3X * -1)] = -3[4(3X + -4) + -2X] -1[11X + (-6 + -3X)] = -3[4(3X + -4) + -2X] Reorder the terms: -1[-6 + 11X + -3X] = -3[4(3X + -4) + -2X] Combine like terms: 11X + -3X = 8X -1[-6 + 8X] = -3[4(3X + -4) + -2X] [-6 * -1 + 8X * -1] = -3[4(3X + -4) + -2X] [6 + -8X] = -3[4(3X + -4) + -2X] Reorder the terms: 6 + -8X = -3[4(-4 + 3X) + -2X] 6 + -8X = -3[(-4 * 4 + 3X * 4) + -2X] 6 + -8X = -3[(-16 + 12X) + -2X] Combine like terms: 12X + -2X = 10X 6 + -8X = -3[-16 + 10X] 6 + -8X = [-16 * -3 + 10X * -3] 6 + -8X = [48 + -30X] Solving 6 + -8X = 48 + -30X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '30X' to each side of the equation. 6 + -8X + 30X = 48 + -30X + 30X Combine like terms: -8X + 30X = 22X 6 + 22X = 48 + -30X + 30X Combine like terms: -30X + 30X = 0 6 + 22X = 48 + 0 6 + 22X = 48 Add '-6' to each side of the equation. 6 + -6 + 22X = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 22X = 48 + -6 22X = 48 + -6 Combine like terms: 48 + -6 = 42 22X = 42 Divide each side by '22'. X = 1.909090909 Simplifying X = 1.909090909
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