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Simplifying x + 2x + 0.5x + 0.25x + 1 = 100 Reorder the terms: 1 + x + 2x + 0.5x + 0.25x = 100 Combine like terms: x + 2x = 3x 1 + 3x + 0.5x + 0.25x = 100 Combine like terms: 3x + 0.5x = 3.5x 1 + 3.5x + 0.25x = 100 Combine like terms: 3.5x + 0.25x = 3.75x 1 + 3.75x = 100 Solving 1 + 3.75x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3.75x = 100 + -1 Combine like terms: 1 + -1 = 0 0 + 3.75x = 100 + -1 3.75x = 100 + -1 Combine like terms: 100 + -1 = 99 3.75x = 99 Divide each side by '3.75'. x = 26.4 Simplifying x = 26.4
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