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Simplifying [9(x + 5) + -16] + [3(x + -2) + 4] = 0 Reorder the terms: [9(5 + x) + -16] + [3(x + -2) + 4] = 0 [(5 * 9 + x * 9) + -16] + [3(x + -2) + 4] = 0 [(45 + 9x) + -16] + [3(x + -2) + 4] = 0 Reorder the terms: [45 + -16 + 9x] + [3(x + -2) + 4] = 0 Combine like terms: 45 + -16 = 29 [29 + 9x] + [3(x + -2) + 4] = 0 Remove brackets around [29 + 9x] 29 + 9x + [3(x + -2) + 4] = 0 Reorder the terms: 29 + 9x + [3(-2 + x) + 4] = 0 29 + 9x + [(-2 * 3 + x * 3) + 4] = 0 29 + 9x + [(-6 + 3x) + 4] = 0 Reorder the terms: 29 + 9x + [-6 + 4 + 3x] = 0 Combine like terms: -6 + 4 = -2 29 + 9x + [-2 + 3x] = 0 Remove brackets around [-2 + 3x] 29 + 9x + -2 + 3x = 0 Reorder the terms: 29 + -2 + 9x + 3x = 0 Combine like terms: 29 + -2 = 27 27 + 9x + 3x = 0 Combine like terms: 9x + 3x = 12x 27 + 12x = 0 Solving 27 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 12x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 12x = 0 + -27 12x = 0 + -27 Combine like terms: 0 + -27 = -27 12x = -27 Divide each side by '12'. x = -2.25 Simplifying x = -2.25
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