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Simplifying [8(x + 5) + -18] + [2(x + -2) + 3] = 0 Reorder the terms: [8(5 + x) + -18] + [2(x + -2) + 3] = 0 [(5 * 8 + x * 8) + -18] + [2(x + -2) + 3] = 0 [(40 + 8x) + -18] + [2(x + -2) + 3] = 0 Reorder the terms: [40 + -18 + 8x] + [2(x + -2) + 3] = 0 Combine like terms: 40 + -18 = 22 [22 + 8x] + [2(x + -2) + 3] = 0 Remove brackets around [22 + 8x] 22 + 8x + [2(x + -2) + 3] = 0 Reorder the terms: 22 + 8x + [2(-2 + x) + 3] = 0 22 + 8x + [(-2 * 2 + x * 2) + 3] = 0 22 + 8x + [(-4 + 2x) + 3] = 0 Reorder the terms: 22 + 8x + [-4 + 3 + 2x] = 0 Combine like terms: -4 + 3 = -1 22 + 8x + [-1 + 2x] = 0 Remove brackets around [-1 + 2x] 22 + 8x + -1 + 2x = 0 Reorder the terms: 22 + -1 + 8x + 2x = 0 Combine like terms: 22 + -1 = 21 21 + 8x + 2x = 0 Combine like terms: 8x + 2x = 10x 21 + 10x = 0 Solving 21 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 10x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = 0 + -21 10x = 0 + -21 Combine like terms: 0 + -21 = -21 10x = -21 Divide each side by '10'. x = -2.1 Simplifying x = -2.1
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