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Simplifying 0.5x + 0.25x + 1.5 = 5.25 Reorder the terms: 1.5 + 0.5x + 0.25x = 5.25 Combine like terms: 0.5x + 0.25x = 0.75x 1.5 + 0.75x = 5.25 Solving 1.5 + 0.75x = 5.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.75x = 5.25 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.75x = 5.25 + -1.5 0.75x = 5.25 + -1.5 Combine like terms: 5.25 + -1.5 = 3.75 0.75x = 3.75 Divide each side by '0.75'. x = 5 Simplifying x = 5
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