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Simplifying 0.25x + 25 = 0.50x + 15 Reorder the terms: 25 + 0.25x = 0.50x + 15 Reorder the terms: 25 + 0.25x = 15 + 0.50x Solving 25 + 0.25x = 15 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 25 + 0.25x + -0.50x = 15 + 0.50x + -0.50x Combine like terms: 0.25x + -0.50x = -0.25x 25 + -0.25x = 15 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 25 + -0.25x = 15 + 0.00 25 + -0.25x = 15 Add '-25' to each side of the equation. 25 + -25 + -0.25x = 15 + -25 Combine like terms: 25 + -25 = 0 0 + -0.25x = 15 + -25 -0.25x = 15 + -25 Combine like terms: 15 + -25 = -10 -0.25x = -10 Divide each side by '-0.25'. x = 40 Simplifying x = 40
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