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Simplifying 0.75x + 9 = 0.25x + 21 Reorder the terms: 9 + 0.75x = 0.25x + 21 Reorder the terms: 9 + 0.75x = 21 + 0.25x Solving 9 + 0.75x = 21 + 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. 9 + 0.75x + -0.25x = 21 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x 9 + 0.5x = 21 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 9 + 0.5x = 21 + 0.00 9 + 0.5x = 21 Add '-9' to each side of the equation. 9 + -9 + 0.5x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 0.5x = 21 + -9 0.5x = 21 + -9 Combine like terms: 21 + -9 = 12 0.5x = 12 Divide each side by '0.5'. x = 24 Simplifying x = 24
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