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Simplifying [5(2x + 3) + -6] + [6 + -3(3x + -1) + -8] = 0 Reorder the terms: [5(3 + 2x) + -6] + [6 + -3(3x + -1) + -8] = 0 [(3 * 5 + 2x * 5) + -6] + [6 + -3(3x + -1) + -8] = 0 [(15 + 10x) + -6] + [6 + -3(3x + -1) + -8] = 0 Reorder the terms: [15 + -6 + 10x] + [6 + -3(3x + -1) + -8] = 0 Combine like terms: 15 + -6 = 9 [9 + 10x] + [6 + -3(3x + -1) + -8] = 0 Remove brackets around [9 + 10x] 9 + 10x + [6 + -3(3x + -1) + -8] = 0 Reorder the terms: 9 + 10x + [6 + -3(-1 + 3x) + -8] = 0 9 + 10x + [6 + (-1 * -3 + 3x * -3) + -8] = 0 9 + 10x + [6 + (3 + -9x) + -8] = 0 Reorder the terms: 9 + 10x + [6 + 3 + -8 + -9x] = 0 Combine like terms: 6 + 3 = 9 9 + 10x + [9 + -8 + -9x] = 0 Combine like terms: 9 + -8 = 1 9 + 10x + [1 + -9x] = 0 Remove brackets around [1 + -9x] 9 + 10x + 1 + -9x = 0 Reorder the terms: 9 + 1 + 10x + -9x = 0 Combine like terms: 9 + 1 = 10 10 + 10x + -9x = 0 Combine like terms: 10x + -9x = 1x 10 + 1x = 0 Solving 10 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 0 + -10 1x = 0 + -10 Combine like terms: 0 + -10 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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