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Simplifying 0.25x + 0.5 = 0.75x + -0.5 Reorder the terms: 0.5 + 0.25x = 0.75x + -0.5 Reorder the terms: 0.5 + 0.25x = -0.5 + 0.75x Solving 0.5 + 0.25x = -0.5 + 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. 0.5 + 0.25x + -0.75x = -0.5 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x 0.5 + -0.5x = -0.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 0.5 + -0.5x = -0.5 + 0.00 0.5 + -0.5x = -0.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.5x = -0.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.5x = -0.5 + -0.5 -0.5x = -0.5 + -0.5 Combine like terms: -0.5 + -0.5 = -1 -0.5x = -1 Divide each side by '-0.5'. x = 2 Simplifying x = 2
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