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Simplifying 0.5(x + 100) + 0.5x = 75 Reorder the terms: 0.5(100 + x) + 0.5x = 75 (100 * 0.5 + x * 0.5) + 0.5x = 75 (50 + 0.5x) + 0.5x = 75 Combine like terms: 0.5x + 0.5x = 1x 50 + 1x = 75 Solving 50 + 1x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 1x = 75 + -50 Combine like terms: 50 + -50 = 0 0 + 1x = 75 + -50 1x = 75 + -50 Combine like terms: 75 + -50 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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