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Simplifying 0.2(0.1x + 0.9) = -0.8 Reorder the terms: 0.2(0.9 + 0.1x) = -0.8 (0.9 * 0.2 + 0.1x * 0.2) = -0.8 (0.18 + 0.02x) = -0.8 Solving 0.18 + 0.02x = -0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18' to each side of the equation. 0.18 + -0.18 + 0.02x = -0.8 + -0.18 Combine like terms: 0.18 + -0.18 = 0.00 0.00 + 0.02x = -0.8 + -0.18 0.02x = -0.8 + -0.18 Combine like terms: -0.8 + -0.18 = -0.98 0.02x = -0.98 Divide each side by '0.02'. x = -49 Simplifying x = -49
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