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