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Simplifying 5(x + 6) + -2(x + 5) = 0 Reorder the terms: 5(6 + x) + -2(x + 5) = 0 (6 * 5 + x * 5) + -2(x + 5) = 0 (30 + 5x) + -2(x + 5) = 0 Reorder the terms: 30 + 5x + -2(5 + x) = 0 30 + 5x + (5 * -2 + x * -2) = 0 30 + 5x + (-10 + -2x) = 0 Reorder the terms: 30 + -10 + 5x + -2x = 0 Combine like terms: 30 + -10 = 20 20 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x 20 + 3x = 0 Solving 20 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 0 + -20 3x = 0 + -20 Combine like terms: 0 + -20 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667
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