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Simplifying [8(x + 5) + -18] + [3(x + -3) + 1] = 0 Reorder the terms: [8(5 + x) + -18] + [3(x + -3) + 1] = 0 [(5 * 8 + x * 8) + -18] + [3(x + -3) + 1] = 0 [(40 + 8x) + -18] + [3(x + -3) + 1] = 0 Reorder the terms: [40 + -18 + 8x] + [3(x + -3) + 1] = 0 Combine like terms: 40 + -18 = 22 [22 + 8x] + [3(x + -3) + 1] = 0 Remove brackets around [22 + 8x] 22 + 8x + [3(x + -3) + 1] = 0 Reorder the terms: 22 + 8x + [3(-3 + x) + 1] = 0 22 + 8x + [(-3 * 3 + x * 3) + 1] = 0 22 + 8x + [(-9 + 3x) + 1] = 0 Reorder the terms: 22 + 8x + [-9 + 1 + 3x] = 0 Combine like terms: -9 + 1 = -8 22 + 8x + [-8 + 3x] = 0 Remove brackets around [-8 + 3x] 22 + 8x + -8 + 3x = 0 Reorder the terms: 22 + -8 + 8x + 3x = 0 Combine like terms: 22 + -8 = 14 14 + 8x + 3x = 0 Combine like terms: 8x + 3x = 11x 14 + 11x = 0 Solving 14 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 11x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 0 + -14 11x = 0 + -14 Combine like terms: 0 + -14 = -14 11x = -14 Divide each side by '11'. x = -1.272727273 Simplifying x = -1.272727273
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