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Simplifying 0.5x + 0.25 = x + 0.5 Reorder the terms: 0.25 + 0.5x = x + 0.5 Reorder the terms: 0.25 + 0.5x = 0.5 + x Solving 0.25 + 0.5x = 0.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.25 + 0.5x + -1x = 0.5 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 0.25 + -0.5x = 0.5 + x + -1x Combine like terms: x + -1x = 0 0.25 + -0.5x = 0.5 + 0 0.25 + -0.5x = 0.5 Add '-0.25' to each side of the equation. 0.25 + -0.25 + -0.5x = 0.5 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.5x = 0.5 + -0.25 -0.5x = 0.5 + -0.25 Combine like terms: 0.5 + -0.25 = 0.25 -0.5x = 0.25 Divide each side by '-0.5'. x = -0.5 Simplifying x = -0.5
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