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Simplifying 0.5(50x + 50) = -100 Reorder the terms: 0.5(50 + 50x) = -100 (50 * 0.5 + 50x * 0.5) = -100 (25 + 25x) = -100 Solving 25 + 25x = -100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 25x = -100 + -25 Combine like terms: 25 + -25 = 0 0 + 25x = -100 + -25 25x = -100 + -25 Combine like terms: -100 + -25 = -125 25x = -125 Divide each side by '25'. x = -5 Simplifying x = -5
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