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Simplifying 0.5x + -1 = 2 + -0.5x Reorder the terms: -1 + 0.5x = 2 + -0.5x Solving -1 + 0.5x = 2 + -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. -1 + 0.5x + 0.5x = 2 + -0.5x + 0.5x Combine like terms: 0.5x + 0.5x = 1x -1 + 1x = 2 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -1 + 1x = 2 + 0.0 -1 + 1x = 2 Add '1' to each side of the equation. -1 + 1 + 1x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 2 + 1 1x = 2 + 1 Combine like terms: 2 + 1 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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