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Simplifying x + -1[5x + -1(6 + -9x)] = 30x + -1(3x + 2) + -1(x + 3) x + -1[5x + (6 * -1 + -9x * -1)] = 30x + -1(3x + 2) + -1(x + 3) x + -1[5x + (-6 + 9x)] = 30x + -1(3x + 2) + -1(x + 3) Reorder the terms: x + -1[-6 + 5x + 9x] = 30x + -1(3x + 2) + -1(x + 3) Combine like terms: 5x + 9x = 14x x + -1[-6 + 14x] = 30x + -1(3x + 2) + -1(x + 3) x + [-6 * -1 + 14x * -1] = 30x + -1(3x + 2) + -1(x + 3) x + [6 + -14x] = 30x + -1(3x + 2) + -1(x + 3) Reorder the terms: 6 + x + -14x = 30x + -1(3x + 2) + -1(x + 3) Combine like terms: x + -14x = -13x 6 + -13x = 30x + -1(3x + 2) + -1(x + 3) Reorder the terms: 6 + -13x = 30x + -1(2 + 3x) + -1(x + 3) 6 + -13x = 30x + (2 * -1 + 3x * -1) + -1(x + 3) 6 + -13x = 30x + (-2 + -3x) + -1(x + 3) Reorder the terms: 6 + -13x = 30x + -2 + -3x + -1(3 + x) 6 + -13x = 30x + -2 + -3x + (3 * -1 + x * -1) 6 + -13x = 30x + -2 + -3x + (-3 + -1x) Reorder the terms: 6 + -13x = -2 + -3 + 30x + -3x + -1x Combine like terms: -2 + -3 = -5 6 + -13x = -5 + 30x + -3x + -1x Combine like terms: 30x + -3x = 27x 6 + -13x = -5 + 27x + -1x Combine like terms: 27x + -1x = 26x 6 + -13x = -5 + 26x Solving 6 + -13x = -5 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 6 + -13x + -26x = -5 + 26x + -26x Combine like terms: -13x + -26x = -39x 6 + -39x = -5 + 26x + -26x Combine like terms: 26x + -26x = 0 6 + -39x = -5 + 0 6 + -39x = -5 Add '-6' to each side of the equation. 6 + -6 + -39x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -39x = -5 + -6 -39x = -5 + -6 Combine like terms: -5 + -6 = -11 -39x = -11 Divide each side by '-39'. x = 0.2820512821 Simplifying x = 0.2820512821
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