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Simplifying 0.5x + 0.5 = x + 1 Reorder the terms: 0.5 + 0.5x = x + 1 Reorder the terms: 0.5 + 0.5x = 1 + x Solving 0.5 + 0.5x = 1 + 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. 0.5 + 0.5x + -1x = 1 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 0.5 + -0.5x = 1 + x + -1x Combine like terms: x + -1x = 0 0.5 + -0.5x = 1 + 0 0.5 + -0.5x = 1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.5x = 1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.5x = 1 + -0.5 -0.5x = 1 + -0.5 Combine like terms: 1 + -0.5 = 0.5 -0.5x = 0.5 Divide each side by '-0.5'. x = -1 Simplifying x = -1
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