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Simplifying 5(x + 1) + 6(x + 5) = 0 Reorder the terms: 5(1 + x) + 6(x + 5) = 0 (1 * 5 + x * 5) + 6(x + 5) = 0 (5 + 5x) + 6(x + 5) = 0 Reorder the terms: 5 + 5x + 6(5 + x) = 0 5 + 5x + (5 * 6 + x * 6) = 0 5 + 5x + (30 + 6x) = 0 Reorder the terms: 5 + 30 + 5x + 6x = 0 Combine like terms: 5 + 30 = 35 35 + 5x + 6x = 0 Combine like terms: 5x + 6x = 11x 35 + 11x = 0 Solving 35 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 11x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 11x = 0 + -35 11x = 0 + -35 Combine like terms: 0 + -35 = -35 11x = -35 Divide each side by '11'. x = -3.181818182 Simplifying x = -3.181818182
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