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Simplifying -1[5x + (6x + 9)] = 5 + -1(3x + 5) Reorder the terms: -1[5x + (9 + 6x)] = 5 + -1(3x + 5) Remove parenthesis around (9 + 6x) -1[5x + 9 + 6x] = 5 + -1(3x + 5) Reorder the terms: -1[9 + 5x + 6x] = 5 + -1(3x + 5) Combine like terms: 5x + 6x = 11x -1[9 + 11x] = 5 + -1(3x + 5) [9 * -1 + 11x * -1] = 5 + -1(3x + 5) [-9 + -11x] = 5 + -1(3x + 5) Reorder the terms: -9 + -11x = 5 + -1(5 + 3x) -9 + -11x = 5 + (5 * -1 + 3x * -1) -9 + -11x = 5 + (-5 + -3x) Combine like terms: 5 + -5 = 0 -9 + -11x = 0 + -3x -9 + -11x = -3x Solving -9 + -11x = -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 = -3x + 3x Combine like terms: -11x + 3x = -8x -9 + -8x = -3x + 3x Combine like terms: -3x + 3x = 0 -9 + -8x = 0 Add '9' to each side of the equation. -9 + 9 + -8x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 0 + 9 -8x = 0 + 9 Combine like terms: 0 + 9 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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