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Simplifying [5(x + 7) + -11] + -1[3(x + -9) + 12] = 0 Reorder the terms: [5(7 + x) + -11] + -1[3(x + -9) + 12] = 0 [(7 * 5 + x * 5) + -11] + -1[3(x + -9) + 12] = 0 [(35 + 5x) + -11] + -1[3(x + -9) + 12] = 0 Reorder the terms: [35 + -11 + 5x] + -1[3(x + -9) + 12] = 0 Combine like terms: 35 + -11 = 24 [24 + 5x] + -1[3(x + -9) + 12] = 0 Remove brackets around [24 + 5x] 24 + 5x + -1[3(x + -9) + 12] = 0 Reorder the terms: 24 + 5x + -1[3(-9 + x) + 12] = 0 24 + 5x + -1[(-9 * 3 + x * 3) + 12] = 0 24 + 5x + -1[(-27 + 3x) + 12] = 0 Reorder the terms: 24 + 5x + -1[-27 + 12 + 3x] = 0 Combine like terms: -27 + 12 = -15 24 + 5x + -1[-15 + 3x] = 0 24 + 5x + [-15 * -1 + 3x * -1] = 0 24 + 5x + [15 + -3x] = 0 Reorder the terms: 24 + 15 + 5x + -3x = 0 Combine like terms: 24 + 15 = 39 39 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 39 + 2x = 0 Solving 39 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 2x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 2x = 0 + -39 2x = 0 + -39 Combine like terms: 0 + -39 = -39 2x = -39 Divide each side by '2'. x = -19.5 Simplifying x = -19.5
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