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Simplifying -120 + 10x + 50(x + 6) = 0 Reorder the terms: -120 + 10x + 50(6 + x) = 0 -120 + 10x + (6 * 50 + x * 50) = 0 -120 + 10x + (300 + 50x) = 0 Reorder the terms: -120 + 300 + 10x + 50x = 0 Combine like terms: -120 + 300 = 180 180 + 10x + 50x = 0 Combine like terms: 10x + 50x = 60x 180 + 60x = 0 Solving 180 + 60x = 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 + 60x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + 60x = 0 + -180 60x = 0 + -180 Combine like terms: 0 + -180 = -180 60x = -180 Divide each side by '60'. x = -3 Simplifying x = -3
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