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Simplifying 3(x + 5) + 6(x + 10) = 0 Reorder the terms: 3(5 + x) + 6(x + 10) = 0 (5 * 3 + x * 3) + 6(x + 10) = 0 (15 + 3x) + 6(x + 10) = 0 Reorder the terms: 15 + 3x + 6(10 + x) = 0 15 + 3x + (10 * 6 + x * 6) = 0 15 + 3x + (60 + 6x) = 0 Reorder the terms: 15 + 60 + 3x + 6x = 0 Combine like terms: 15 + 60 = 75 75 + 3x + 6x = 0 Combine like terms: 3x + 6x = 9x 75 + 9x = 0 Solving 75 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 9x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 9x = 0 + -75 9x = 0 + -75 Combine like terms: 0 + -75 = -75 9x = -75 Divide each side by '9'. x = -8.333333333 Simplifying x = -8.333333333
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