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Simplifying 0.2(0.1x + 0.1) = -0.8 Reorder the terms: 0.2(0.1 + 0.1x) = -0.8 (0.1 * 0.2 + 0.1x * 0.2) = -0.8 (0.02 + 0.02x) = -0.8 Solving 0.02 + 0.02x = -0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02' to each side of the equation. 0.02 + -0.02 + 0.02x = -0.8 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + 0.02x = -0.8 + -0.02 0.02x = -0.8 + -0.02 Combine like terms: -0.8 + -0.02 = -0.82 0.02x = -0.82 Divide each side by '0.02'. x = -41 Simplifying x = -41
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