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Simplifying -1[3x + (8x + 2)] = 6 + -1(8x + 1) Reorder the terms: -1[3x + (2 + 8x)] = 6 + -1(8x + 1) Remove parenthesis around (2 + 8x) -1[3x + 2 + 8x] = 6 + -1(8x + 1) Reorder the terms: -1[2 + 3x + 8x] = 6 + -1(8x + 1) Combine like terms: 3x + 8x = 11x -1[2 + 11x] = 6 + -1(8x + 1) [2 * -1 + 11x * -1] = 6 + -1(8x + 1) [-2 + -11x] = 6 + -1(8x + 1) Reorder the terms: -2 + -11x = 6 + -1(1 + 8x) -2 + -11x = 6 + (1 * -1 + 8x * -1) -2 + -11x = 6 + (-1 + -8x) Combine like terms: 6 + -1 = 5 -2 + -11x = 5 + -8x Solving -2 + -11x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -2 + -11x + 8x = 5 + -8x + 8x Combine like terms: -11x + 8x = -3x -2 + -3x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + -3x = 5 + 0 -2 + -3x = 5 Add '2' to each side of the equation. -2 + 2 + -3x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 5 + 2 -3x = 5 + 2 Combine like terms: 5 + 2 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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