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Simplifying 0.75x + 5 = 0.25 + 0.25x Reorder the terms: 5 + 0.75x = 0.25 + 0.25x Solving 5 + 0.75x = 0.25 + 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. 5 + 0.75x + -0.25x = 0.25 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x 5 + 0.5x = 0.25 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 5 + 0.5x = 0.25 + 0.00 5 + 0.5x = 0.25 Add '-5' to each side of the equation. 5 + -5 + 0.5x = 0.25 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5x = 0.25 + -5 0.5x = 0.25 + -5 Combine like terms: 0.25 + -5 = -4.75 0.5x = -4.75 Divide each side by '0.5'. x = -9.5 Simplifying x = -9.5
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