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Simplifying 0.2 = (1 + -1x) * 0.8 Reorder the terms for easier multiplication: 0.2 = 0.8(1 + -1x) 0.2 = (1 * 0.8 + -1x * 0.8) 0.2 = (0.8 + -0.8x) Solving 0.2 = 0.8 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. 0.2 + 0.8x = 0.8 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 0.2 + 0.8x = 0.8 + 0.0 0.2 + 0.8x = 0.8 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.8x = 0.8 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.8x = 0.8 + -0.2 0.8x = 0.8 + -0.2 Combine like terms: 0.8 + -0.2 = 0.6 0.8x = 0.6 Divide each side by '0.8'. x = 0.75 Simplifying x = 0.75
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