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Simplifying 0.75x + 0.25(25 + -1x) = 0.45(25) 0.75x + (25 * 0.25 + -1x * 0.25) = 0.45(25) 0.75x + (6.25 + -0.25x) = 0.45(25) Reorder the terms: 6.25 + 0.75x + -0.25x = 0.45(25) Combine like terms: 0.75x + -0.25x = 0.5x 6.25 + 0.5x = 0.45(25) Multiply 0.45 * 25 6.25 + 0.5x = 11.25 Solving 6.25 + 0.5x = 11.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + 0.5x = 11.25 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + 0.5x = 11.25 + -6.25 0.5x = 11.25 + -6.25 Combine like terms: 11.25 + -6.25 = 5 0.5x = 5 Divide each side by '0.5'. x = 10 Simplifying x = 10
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