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Simplifying [9(x + 5) + -16] + [2(x + -3) + 2] = 0 Reorder the terms: [9(5 + x) + -16] + [2(x + -3) + 2] = 0 [(5 * 9 + x * 9) + -16] + [2(x + -3) + 2] = 0 [(45 + 9x) + -16] + [2(x + -3) + 2] = 0 Reorder the terms: [45 + -16 + 9x] + [2(x + -3) + 2] = 0 Combine like terms: 45 + -16 = 29 [29 + 9x] + [2(x + -3) + 2] = 0 Remove brackets around [29 + 9x] 29 + 9x + [2(x + -3) + 2] = 0 Reorder the terms: 29 + 9x + [2(-3 + x) + 2] = 0 29 + 9x + [(-3 * 2 + x * 2) + 2] = 0 29 + 9x + [(-6 + 2x) + 2] = 0 Reorder the terms: 29 + 9x + [-6 + 2 + 2x] = 0 Combine like terms: -6 + 2 = -4 29 + 9x + [-4 + 2x] = 0 Remove brackets around [-4 + 2x] 29 + 9x + -4 + 2x = 0 Reorder the terms: 29 + -4 + 9x + 2x = 0 Combine like terms: 29 + -4 = 25 25 + 9x + 2x = 0 Combine like terms: 9x + 2x = 11x 25 + 11x = 0 Solving 25 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 11x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 11x = 0 + -25 11x = 0 + -25 Combine like terms: 0 + -25 = -25 11x = -25 Divide each side by '11'. x = -2.272727273 Simplifying x = -2.272727273
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