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Simplifying 0.2(0.1x + 0.5) = -0.6 Reorder the terms: 0.2(0.5 + 0.1x) = -0.6 (0.5 * 0.2 + 0.1x * 0.2) = -0.6 (0.1 + 0.02x) = -0.6 Solving 0.1 + 0.02x = -0.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.02x = -0.6 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.02x = -0.6 + -0.1 0.02x = -0.6 + -0.1 Combine like terms: -0.6 + -0.1 = -0.7 0.02x = -0.7 Divide each side by '0.02'. x = -35 Simplifying x = -35
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