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Simplifying -1[2x + (9x + 9)] = 9 + -1(3x + 1) Reorder the terms: -1[2x + (9 + 9x)] = 9 + -1(3x + 1) Remove parenthesis around (9 + 9x) -1[2x + 9 + 9x] = 9 + -1(3x + 1) Reorder the terms: -1[9 + 2x + 9x] = 9 + -1(3x + 1) Combine like terms: 2x + 9x = 11x -1[9 + 11x] = 9 + -1(3x + 1) [9 * -1 + 11x * -1] = 9 + -1(3x + 1) [-9 + -11x] = 9 + -1(3x + 1) Reorder the terms: -9 + -11x = 9 + -1(1 + 3x) -9 + -11x = 9 + (1 * -1 + 3x * -1) -9 + -11x = 9 + (-1 + -3x) Combine like terms: 9 + -1 = 8 -9 + -11x = 8 + -3x Solving -9 + -11x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + -11x + 3x = 8 + -3x + 3x Combine like terms: -11x + 3x = -8x -9 + -8x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + -8x = 8 + 0 -9 + -8x = 8 Add '9' to each side of the equation. -9 + 9 + -8x = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 8 + 9 -8x = 8 + 9 Combine like terms: 8 + 9 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125
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