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Simplifying 0.5(x + 100) + 0.9 = 99 Reorder the terms: 0.5(100 + x) + 0.9 = 99 (100 * 0.5 + x * 0.5) + 0.9 = 99 (50 + 0.5x) + 0.9 = 99 Reorder the terms: 50 + 0.9 + 0.5x = 99 Combine like terms: 50 + 0.9 = 50.9 50.9 + 0.5x = 99 Solving 50.9 + 0.5x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50.9' to each side of the equation. 50.9 + -50.9 + 0.5x = 99 + -50.9 Combine like terms: 50.9 + -50.9 = 0.0 0.0 + 0.5x = 99 + -50.9 0.5x = 99 + -50.9 Combine like terms: 99 + -50.9 = 48.1 0.5x = 48.1 Divide each side by '0.5'. x = 96.2 Simplifying x = 96.2
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