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