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Simplifying 3(2x + -6) + -1[(x + -1(3x + -8) * 2) + -1] = 2 + -1(3 + -2x) Reorder the terms: 3(-6 + 2x) + -1[(x + -1(3x + -8) * 2) + -1] = 2 + -1(3 + -2x) (-6 * 3 + 2x * 3) + -1[(x + -1(3x + -8) * 2) + -1] = 2 + -1(3 + -2x) (-18 + 6x) + -1[(x + -1(3x + -8) * 2) + -1] = 2 + -1(3 + -2x) Reorder the terms: -18 + 6x + -1[(x + -1(-8 + 3x) * 2) + -1] = 2 + -1(3 + -2x) Reorder the terms for easier multiplication: -18 + 6x + -1[(x + -1 * 2(-8 + 3x)) + -1] = 2 + -1(3 + -2x) Multiply -1 * 2 -18 + 6x + -1[(x + -2(-8 + 3x)) + -1] = 2 + -1(3 + -2x) -18 + 6x + -1[(x + (-8 * -2 + 3x * -2)) + -1] = 2 + -1(3 + -2x) -18 + 6x + -1[(x + (16 + -6x)) + -1] = 2 + -1(3 + -2x) Reorder the terms: -18 + 6x + -1[(16 + x + -6x) + -1] = 2 + -1(3 + -2x) Combine like terms: x + -6x = -5x -18 + 6x + -1[(16 + -5x) + -1] = 2 + -1(3 + -2x) Remove parenthesis around (16 + -5x) -18 + 6x + -1[16 + -5x + -1] = 2 + -1(3 + -2x) Reorder the terms: -18 + 6x + -1[16 + -1 + -5x] = 2 + -1(3 + -2x) Combine like terms: 16 + -1 = 15 -18 + 6x + -1[15 + -5x] = 2 + -1(3 + -2x) -18 + 6x + [15 * -1 + -5x * -1] = 2 + -1(3 + -2x) -18 + 6x + [-15 + 5x] = 2 + -1(3 + -2x) Reorder the terms: -18 + -15 + 6x + 5x = 2 + -1(3 + -2x) Combine like terms: -18 + -15 = -33 -33 + 6x + 5x = 2 + -1(3 + -2x) Combine like terms: 6x + 5x = 11x -33 + 11x = 2 + -1(3 + -2x) -33 + 11x = 2 + (3 * -1 + -2x * -1) -33 + 11x = 2 + (-3 + 2x) Combine like terms: 2 + -3 = -1 -33 + 11x = -1 + 2x Solving -33 + 11x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -33 + 11x + -2x = -1 + 2x + -2x Combine like terms: 11x + -2x = 9x -33 + 9x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + 9x = -1 + 0 -33 + 9x = -1 Add '33' to each side of the equation. -33 + 33 + 9x = -1 + 33 Combine like terms: -33 + 33 = 0 0 + 9x = -1 + 33 9x = -1 + 33 Combine like terms: -1 + 33 = 32 9x = 32 Divide each side by '9'. x = 3.555555556 Simplifying x = 3.555555556
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