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Simplifying -17 + [9x + -12 + -1(7 + -11x)] = 24 + -1[-3x + -1(16 + 7x)] -17 + [9x + -12 + (7 * -1 + -11x * -1)] = 24 + -1[-3x + -1(16 + 7x)] -17 + [9x + -12 + (-7 + 11x)] = 24 + -1[-3x + -1(16 + 7x)] Reorder the terms: -17 + [-12 + -7 + 9x + 11x] = 24 + -1[-3x + -1(16 + 7x)] Combine like terms: -12 + -7 = -19 -17 + [-19 + 9x + 11x] = 24 + -1[-3x + -1(16 + 7x)] Combine like terms: 9x + 11x = 20x -17 + [-19 + 20x] = 24 + -1[-3x + -1(16 + 7x)] Remove brackets around [-19 + 20x] -17 + -19 + 20x = 24 + -1[-3x + -1(16 + 7x)] Combine like terms: -17 + -19 = -36 -36 + 20x = 24 + -1[-3x + -1(16 + 7x)] -36 + 20x = 24 + -1[-3x + (16 * -1 + 7x * -1)] -36 + 20x = 24 + -1[-3x + (-16 + -7x)] Reorder the terms: -36 + 20x = 24 + -1[-16 + -3x + -7x] Combine like terms: -3x + -7x = -10x -36 + 20x = 24 + -1[-16 + -10x] -36 + 20x = 24 + [-16 * -1 + -10x * -1] -36 + 20x = 24 + [16 + 10x] Combine like terms: 24 + 16 = 40 -36 + 20x = 40 + 10x Solving -36 + 20x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -36 + 20x + -10x = 40 + 10x + -10x Combine like terms: 20x + -10x = 10x -36 + 10x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 -36 + 10x = 40 + 0 -36 + 10x = 40 Add '36' to each side of the equation. -36 + 36 + 10x = 40 + 36 Combine like terms: -36 + 36 = 0 0 + 10x = 40 + 36 10x = 40 + 36 Combine like terms: 40 + 36 = 76 10x = 76 Divide each side by '10'. x = 7.6 Simplifying x = 7.6
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