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Simplifying [8(x + 5) + -19] + [3(x + -2) + 3] = 0 Reorder the terms: [8(5 + x) + -19] + [3(x + -2) + 3] = 0 [(5 * 8 + x * 8) + -19] + [3(x + -2) + 3] = 0 [(40 + 8x) + -19] + [3(x + -2) + 3] = 0 Reorder the terms: [40 + -19 + 8x] + [3(x + -2) + 3] = 0 Combine like terms: 40 + -19 = 21 [21 + 8x] + [3(x + -2) + 3] = 0 Remove brackets around [21 + 8x] 21 + 8x + [3(x + -2) + 3] = 0 Reorder the terms: 21 + 8x + [3(-2 + x) + 3] = 0 21 + 8x + [(-2 * 3 + x * 3) + 3] = 0 21 + 8x + [(-6 + 3x) + 3] = 0 Reorder the terms: 21 + 8x + [-6 + 3 + 3x] = 0 Combine like terms: -6 + 3 = -3 21 + 8x + [-3 + 3x] = 0 Remove brackets around [-3 + 3x] 21 + 8x + -3 + 3x = 0 Reorder the terms: 21 + -3 + 8x + 3x = 0 Combine like terms: 21 + -3 = 18 18 + 8x + 3x = 0 Combine like terms: 8x + 3x = 11x 18 + 11x = 0 Solving 18 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 11x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 11x = 0 + -18 11x = 0 + -18 Combine like terms: 0 + -18 = -18 11x = -18 Divide each side by '11'. x = -1.636363636 Simplifying x = -1.636363636
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