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Simplifying 0.5x + 0.25(1 + -1x) = 2 0.5x + (1 * 0.25 + -1x * 0.25) = 2 0.5x + (0.25 + -0.25x) = 2 Reorder the terms: 0.25 + 0.5x + -0.25x = 2 Combine like terms: 0.5x + -0.25x = 0.25x 0.25 + 0.25x = 2 Solving 0.25 + 0.25x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.25x = 2 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.25x = 2 + -0.25 0.25x = 2 + -0.25 Combine like terms: 2 + -0.25 = 1.75 0.25x = 1.75 Divide each side by '0.25'. x = 7 Simplifying x = 7
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