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Simplifying x + -1(1 + -0.5x) = 0 x + (1 * -1 + -0.5x * -1) = 0 x + (-1 + 0.5x) = 0 Reorder the terms: -1 + x + 0.5x = 0 Combine like terms: x + 0.5x = 1.5x -1 + 1.5x = 0 Solving -1 + 1.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1.5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1.5x = 0 + 1 1.5x = 0 + 1 Combine like terms: 0 + 1 = 1 1.5x = 1 Divide each side by '1.5'. x = 0.6666666667 Simplifying x = 0.6666666667
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