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Simplifying -3[3x + -1(8x + 9)] = 9 + (4x + 1) Reorder the terms: -3[3x + -1(9 + 8x)] = 9 + (4x + 1) -3[3x + (9 * -1 + 8x * -1)] = 9 + (4x + 1) -3[3x + (-9 + -8x)] = 9 + (4x + 1) Reorder the terms: -3[-9 + 3x + -8x] = 9 + (4x + 1) Combine like terms: 3x + -8x = -5x -3[-9 + -5x] = 9 + (4x + 1) [-9 * -3 + -5x * -3] = 9 + (4x + 1) [27 + 15x] = 9 + (4x + 1) Reorder the terms: 27 + 15x = 9 + (1 + 4x) Remove parenthesis around (1 + 4x) 27 + 15x = 9 + 1 + 4x Combine like terms: 9 + 1 = 10 27 + 15x = 10 + 4x Solving 27 + 15x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 15x + -4x = 10 + 4x + -4x Combine like terms: 15x + -4x = 11x 27 + 11x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 11x = 10 + 0 27 + 11x = 10 Add '-27' to each side of the equation. 27 + -27 + 11x = 10 + -27 Combine like terms: 27 + -27 = 0 0 + 11x = 10 + -27 11x = 10 + -27 Combine like terms: 10 + -27 = -17 11x = -17 Divide each side by '11'. x = -1.545454545 Simplifying x = -1.545454545
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