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Simplifying 0.5x + -0.25 = 2x + 0.5 Reorder the terms: -0.25 + 0.5x = 2x + 0.5 Reorder the terms: -0.25 + 0.5x = 0.5 + 2x Solving -0.25 + 0.5x = 0.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.25 + 0.5x + -2x = 0.5 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -0.25 + -1.5x = 0.5 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.25 + -1.5x = 0.5 + 0 -0.25 + -1.5x = 0.5 Add '0.25' to each side of the equation. -0.25 + 0.25 + -1.5x = 0.5 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -1.5x = 0.5 + 0.25 -1.5x = 0.5 + 0.25 Combine like terms: 0.5 + 0.25 = 0.75 -1.5x = 0.75 Divide each side by '-1.5'. x = -0.5 Simplifying x = -0.5
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