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Simplifying [10(x + 3) + -4] + [2(x + -1) + 6] = 0 Reorder the terms: [10(3 + x) + -4] + [2(x + -1) + 6] = 0 [(3 * 10 + x * 10) + -4] + [2(x + -1) + 6] = 0 [(30 + 10x) + -4] + [2(x + -1) + 6] = 0 Reorder the terms: [30 + -4 + 10x] + [2(x + -1) + 6] = 0 Combine like terms: 30 + -4 = 26 [26 + 10x] + [2(x + -1) + 6] = 0 Remove brackets around [26 + 10x] 26 + 10x + [2(x + -1) + 6] = 0 Reorder the terms: 26 + 10x + [2(-1 + x) + 6] = 0 26 + 10x + [(-1 * 2 + x * 2) + 6] = 0 26 + 10x + [(-2 + 2x) + 6] = 0 Reorder the terms: 26 + 10x + [-2 + 6 + 2x] = 0 Combine like terms: -2 + 6 = 4 26 + 10x + [4 + 2x] = 0 Remove brackets around [4 + 2x] 26 + 10x + 4 + 2x = 0 Reorder the terms: 26 + 4 + 10x + 2x = 0 Combine like terms: 26 + 4 = 30 30 + 10x + 2x = 0 Combine like terms: 10x + 2x = 12x 30 + 12x = 0 Solving 30 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = 0 + -30 12x = 0 + -30 Combine like terms: 0 + -30 = -30 12x = -30 Divide each side by '12'. x = -2.5 Simplifying x = -2.5
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