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Simplifying 0.5x + 2 = x + -0.25 Reorder the terms: 2 + 0.5x = x + -0.25 Reorder the terms: 2 + 0.5x = -0.25 + x Solving 2 + 0.5x = -0.25 + 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. 2 + 0.5x + -1x = -0.25 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 2 + -0.5x = -0.25 + x + -1x Combine like terms: x + -1x = 0 2 + -0.5x = -0.25 + 0 2 + -0.5x = -0.25 Add '-2' to each side of the equation. 2 + -2 + -0.5x = -0.25 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5x = -0.25 + -2 -0.5x = -0.25 + -2 Combine like terms: -0.25 + -2 = -2.25 -0.5x = -2.25 Divide each side by '-0.5'. x = 4.5 Simplifying x = 4.5
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