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Simplifying x + -0.8(1 + -1x) = 0.2x x + (1 * -0.8 + -1x * -0.8) = 0.2x x + (-0.8 + 0.8x) = 0.2x Reorder the terms: -0.8 + x + 0.8x = 0.2x Combine like terms: x + 0.8x = 1.8x -0.8 + 1.8x = 0.2x Solving -0.8 + 1.8x = 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.8 + 1.8x + -0.2x = 0.2x + -0.2x Combine like terms: 1.8x + -0.2x = 1.6x -0.8 + 1.6x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.8 + 1.6x = 0.0 Add '0.8' to each side of the equation. -0.8 + 0.8 + 1.6x = 0.0 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 1.6x = 0.0 + 0.8 1.6x = 0.0 + 0.8 Combine like terms: 0.0 + 0.8 = 0.8 1.6x = 0.8 Divide each side by '1.6'. x = 0.5 Simplifying x = 0.5
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