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Simplifying -0.5x + 0.5 = 0.5x + 1 Reorder the terms: 0.5 + -0.5x = 0.5x + 1 Reorder the terms: 0.5 + -0.5x = 1 + 0.5x Solving 0.5 + -0.5x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.5 + -0.5x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: -0.5x + -0.5x = -1x 0.5 + -1x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.5 + -1x = 1 + 0.0 0.5 + -1x = 1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1x = 1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1x = 1 + -0.5 -1x = 1 + -0.5 Combine like terms: 1 + -0.5 = 0.5 -1x = 0.5 Divide each side by '-1'. x = -0.5 Simplifying x = -0.5
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