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Simplifying 4x + -1[-8 + (5 + -2x + 6)] = -11 + [-5 + (7 + 5x) + -1] Reorder the terms: 4x + -1[-8 + (5 + 6 + -2x)] = -11 + [-5 + (7 + 5x) + -1] Combine like terms: 5 + 6 = 11 4x + -1[-8 + (11 + -2x)] = -11 + [-5 + (7 + 5x) + -1] Remove parenthesis around (11 + -2x) 4x + -1[-8 + 11 + -2x] = -11 + [-5 + (7 + 5x) + -1] Combine like terms: -8 + 11 = 3 4x + -1[3 + -2x] = -11 + [-5 + (7 + 5x) + -1] 4x + [3 * -1 + -2x * -1] = -11 + [-5 + (7 + 5x) + -1] 4x + [-3 + 2x] = -11 + [-5 + (7 + 5x) + -1] Reorder the terms: -3 + 4x + 2x = -11 + [-5 + (7 + 5x) + -1] Combine like terms: 4x + 2x = 6x -3 + 6x = -11 + [-5 + (7 + 5x) + -1] Remove parenthesis around (7 + 5x) -3 + 6x = -11 + [-5 + 7 + 5x + -1] Reorder the terms: -3 + 6x = -11 + [-5 + 7 + -1 + 5x] Combine like terms: -5 + 7 = 2 -3 + 6x = -11 + [2 + -1 + 5x] Combine like terms: 2 + -1 = 1 -3 + 6x = -11 + [1 + 5x] Remove brackets around [1 + 5x] -3 + 6x = -11 + 1 + 5x Combine like terms: -11 + 1 = -10 -3 + 6x = -10 + 5x Solving -3 + 6x = -10 + 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. -3 + 6x + -5x = -10 + 5x + -5x Combine like terms: 6x + -5x = 1x -3 + 1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 1x = -10 + 0 -3 + 1x = -10 Add '3' to each side of the equation. -3 + 3 + 1x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -10 + 3 1x = -10 + 3 Combine like terms: -10 + 3 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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