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Simplifying 6 + 4[5 + 2(5x + 1)] + 8 = 0 Reorder the terms: 6 + 4[5 + 2(1 + 5x)] + 8 = 0 6 + 4[5 + (1 * 2 + 5x * 2)] + 8 = 0 6 + 4[5 + (2 + 10x)] + 8 = 0 Combine like terms: 5 + 2 = 7 6 + 4[7 + 10x] + 8 = 0 6 + [7 * 4 + 10x * 4] + 8 = 0 6 + [28 + 40x] + 8 = 0 Reorder the terms: 6 + 28 + 8 + 40x = 0 Combine like terms: 6 + 28 = 34 34 + 8 + 40x = 0 Combine like terms: 34 + 8 = 42 42 + 40x = 0 Solving 42 + 40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 40x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 40x = 0 + -42 40x = 0 + -42 Combine like terms: 0 + -42 = -42 40x = -42 Divide each side by '40'. x = -1.05 Simplifying x = -1.05
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