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Simplifying 4x = 0.5x + 27 + 0.25x Reorder the terms: 4x = 27 + 0.5x + 0.25x Combine like terms: 0.5x + 0.25x = 0.75x 4x = 27 + 0.75x Solving 4x = 27 + 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. 4x + -0.75x = 27 + 0.75x + -0.75x Combine like terms: 4x + -0.75x = 3.25x 3.25x = 27 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3.25x = 27 + 0.00 3.25x = 27 Divide each side by '3.25'. x = 8.307692308 Simplifying x = 8.307692308
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