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Simplifying 0.2(0.1x + 0.3) = -0.4 Reorder the terms: 0.2(0.3 + 0.1x) = -0.4 (0.3 * 0.2 + 0.1x * 0.2) = -0.4 (0.06 + 0.02x) = -0.4 Solving 0.06 + 0.02x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06' to each side of the equation. 0.06 + -0.06 + 0.02x = -0.4 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + 0.02x = -0.4 + -0.06 0.02x = -0.4 + -0.06 Combine like terms: -0.4 + -0.06 = -0.46 0.02x = -0.46 Divide each side by '0.02'. x = -23 Simplifying x = -23
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