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Simplifying 8x + -1[-11x + [11x + -1(-6x + 19)]] = 0 Reorder the terms: 8x + -1[-11x + [11x + -1(19 + -6x)]] = 0 8x + -1[-11x + [11x + (19 * -1 + -6x * -1)]] = 0 8x + -1[-11x + [11x + (-19 + 6x)]] = 0 Reorder the terms: 8x + -1[-11x + [-19 + 11x + 6x]] = 0 Combine like terms: 11x + 6x = 17x 8x + -1[-11x + [-19 + 17x]] = 0 Remove brackets around [-19 + 17x] 8x + -1[-11x + -19 + 17x] = 0 Reorder the terms: 8x + -1[-19 + -11x + 17x] = 0 Combine like terms: -11x + 17x = 6x 8x + -1[-19 + 6x] = 0 8x + [-19 * -1 + 6x * -1] = 0 8x + [19 + -6x] = 0 Reorder the terms: 19 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x 19 + 2x = 0 Solving 19 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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