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Simplifying 0.2(0.1x + 0.1) = -0.4 Reorder the terms: 0.2(0.1 + 0.1x) = -0.4 (0.1 * 0.2 + 0.1x * 0.2) = -0.4 (0.02 + 0.02x) = -0.4 Solving 0.02 + 0.02x = -0.4 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 = -0.4 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + 0.02x = -0.4 + -0.02 0.02x = -0.4 + -0.02 Combine like terms: -0.4 + -0.02 = -0.42 0.02x = -0.42 Divide each side by '0.02'. x = -21 Simplifying x = -21
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