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Simplifying 0.25x + 1.75 = 0.75x + 0.25 Reorder the terms: 1.75 + 0.25x = 0.75x + 0.25 Reorder the terms: 1.75 + 0.25x = 0.25 + 0.75x Solving 1.75 + 0.25x = 0.25 + 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. 1.75 + 0.25x + -0.75x = 0.25 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x 1.75 + -0.5x = 0.25 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 1.75 + -0.5x = 0.25 + 0.00 1.75 + -0.5x = 0.25 Add '-1.75' to each side of the equation. 1.75 + -1.75 + -0.5x = 0.25 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.5x = 0.25 + -1.75 -0.5x = 0.25 + -1.75 Combine like terms: 0.25 + -1.75 = -1.5 -0.5x = -1.5 Divide each side by '-0.5'. x = 3 Simplifying x = 3
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