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Simplifying -1[2x + (9x + 6)] = 4 + -1(8x + 9) Reorder the terms: -1[2x + (6 + 9x)] = 4 + -1(8x + 9) Remove parenthesis around (6 + 9x) -1[2x + 6 + 9x] = 4 + -1(8x + 9) Reorder the terms: -1[6 + 2x + 9x] = 4 + -1(8x + 9) Combine like terms: 2x + 9x = 11x -1[6 + 11x] = 4 + -1(8x + 9) [6 * -1 + 11x * -1] = 4 + -1(8x + 9) [-6 + -11x] = 4 + -1(8x + 9) Reorder the terms: -6 + -11x = 4 + -1(9 + 8x) -6 + -11x = 4 + (9 * -1 + 8x * -1) -6 + -11x = 4 + (-9 + -8x) Combine like terms: 4 + -9 = -5 -6 + -11x = -5 + -8x Solving -6 + -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. -6 + -11x + 8x = -5 + -8x + 8x Combine like terms: -11x + 8x = -3x -6 + -3x = -5 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + -3x = -5 + 0 -6 + -3x = -5 Add '6' to each side of the equation. -6 + 6 + -3x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -5 + 6 -3x = -5 + 6 Combine like terms: -5 + 6 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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