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Simplifying x + 0.5x + 0.75x + 1 = 100 Reorder the terms: 1 + x + 0.5x + 0.75x = 100 Combine like terms: x + 0.5x = 1.5x 1 + 1.5x + 0.75x = 100 Combine like terms: 1.5x + 0.75x = 2.25x 1 + 2.25x = 100 Solving 1 + 2.25x = 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 + 2.25x = 100 + -1 Combine like terms: 1 + -1 = 0 0 + 2.25x = 100 + -1 2.25x = 100 + -1 Combine like terms: 100 + -1 = 99 2.25x = 99 Divide each side by '2.25'. x = 44 Simplifying x = 44
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