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Simplifying 0.25x + 9 = 0.75x + 2 Reorder the terms: 9 + 0.25x = 0.75x + 2 Reorder the terms: 9 + 0.25x = 2 + 0.75x Solving 9 + 0.25x = 2 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 9 + 0.25x + -0.75x = 2 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x 9 + -0.5x = 2 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 9 + -0.5x = 2 + 0.00 9 + -0.5x = 2 Add '-9' to each side of the equation. 9 + -9 + -0.5x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -0.5x = 2 + -9 -0.5x = 2 + -9 Combine like terms: 2 + -9 = -7 -0.5x = -7 Divide each side by '-0.5'. x = 14 Simplifying x = 14
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