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Simplifying 0.45x + 25 = 0.25x + 40 Reorder the terms: 25 + 0.45x = 0.25x + 40 Reorder the terms: 25 + 0.45x = 40 + 0.25x Solving 25 + 0.45x = 40 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 25 + 0.45x + -0.25x = 40 + 0.25x + -0.25x Combine like terms: 0.45x + -0.25x = 0.2x 25 + 0.2x = 40 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 25 + 0.2x = 40 + 0.00 25 + 0.2x = 40 Add '-25' to each side of the equation. 25 + -25 + 0.2x = 40 + -25 Combine like terms: 25 + -25 = 0 0 + 0.2x = 40 + -25 0.2x = 40 + -25 Combine like terms: 40 + -25 = 15 0.2x = 15 Divide each side by '0.2'. x = 75 Simplifying x = 75
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