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