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Simplifying x + 0.5(1 + -1x) = 0 x + (1 * 0.5 + -1x * 0.5) = 0 x + (0.5 + -0.5x) = 0 Reorder the terms: 0.5 + x + -0.5x = 0 Combine like terms: x + -0.5x = 0.5x 0.5 + 0.5x = 0 Solving 0.5 + 0.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.5x = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.5x = 0 + -0.5 0.5x = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.5x = -0.5 Divide each side by '0.5'. x = -1 Simplifying x = -1
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