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Simplifying 4(2 + -6x) + -6 = 8x + [-1(3x + -11) + 20] (2 * 4 + -6x * 4) + -6 = 8x + [-1(3x + -11) + 20] (8 + -24x) + -6 = 8x + [-1(3x + -11) + 20] Reorder the terms: 8 + -6 + -24x = 8x + [-1(3x + -11) + 20] Combine like terms: 8 + -6 = 2 2 + -24x = 8x + [-1(3x + -11) + 20] Reorder the terms: 2 + -24x = 8x + [-1(-11 + 3x) + 20] 2 + -24x = 8x + [(-11 * -1 + 3x * -1) + 20] 2 + -24x = 8x + [(11 + -3x) + 20] Reorder the terms: 2 + -24x = 8x + [11 + 20 + -3x] Combine like terms: 11 + 20 = 31 2 + -24x = 8x + [31 + -3x] Remove brackets around [31 + -3x] 2 + -24x = 8x + 31 + -3x Reorder the terms: 2 + -24x = 31 + 8x + -3x Combine like terms: 8x + -3x = 5x 2 + -24x = 31 + 5x Solving 2 + -24x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -24x + -5x = 31 + 5x + -5x Combine like terms: -24x + -5x = -29x 2 + -29x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -29x = 31 + 0 2 + -29x = 31 Add '-2' to each side of the equation. 2 + -2 + -29x = 31 + -2 Combine like terms: 2 + -2 = 0 0 + -29x = 31 + -2 -29x = 31 + -2 Combine like terms: 31 + -2 = 29 -29x = 29 Divide each side by '-29'. x = -1 Simplifying x = -1
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