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Simplifying 5(2x + 12) + 6(x + 20) = 0 Reorder the terms: 5(12 + 2x) + 6(x + 20) = 0 (12 * 5 + 2x * 5) + 6(x + 20) = 0 (60 + 10x) + 6(x + 20) = 0 Reorder the terms: 60 + 10x + 6(20 + x) = 0 60 + 10x + (20 * 6 + x * 6) = 0 60 + 10x + (120 + 6x) = 0 Reorder the terms: 60 + 120 + 10x + 6x = 0 Combine like terms: 60 + 120 = 180 180 + 10x + 6x = 0 Combine like terms: 10x + 6x = 16x 180 + 16x = 0 Solving 180 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + 16x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + 16x = 0 + -180 16x = 0 + -180 Combine like terms: 0 + -180 = -180 16x = -180 Divide each side by '16'. x = -11.25 Simplifying x = -11.25
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