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Simplifying 0.5x + 0.25(x + -5) = 13.75 Reorder the terms: 0.5x + 0.25(-5 + x) = 13.75 0.5x + (-5 * 0.25 + x * 0.25) = 13.75 0.5x + (-1.25 + 0.25x) = 13.75 Reorder the terms: -1.25 + 0.5x + 0.25x = 13.75 Combine like terms: 0.5x + 0.25x = 0.75x -1.25 + 0.75x = 13.75 Solving -1.25 + 0.75x = 13.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + 0.75x = 13.75 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + 0.75x = 13.75 + 1.25 0.75x = 13.75 + 1.25 Combine like terms: 13.75 + 1.25 = 15 0.75x = 15 Divide each side by '0.75'. x = 20 Simplifying x = 20
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