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Simplifying 0.4(0.1x + 0.5) = -0.8 Reorder the terms: 0.4(0.5 + 0.1x) = -0.8 (0.5 * 0.4 + 0.1x * 0.4) = -0.8 (0.2 + 0.04x) = -0.8 Solving 0.2 + 0.04x = -0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.04x = -0.8 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.04x = -0.8 + -0.2 0.04x = -0.8 + -0.2 Combine like terms: -0.8 + -0.2 = -1 0.04x = -1 Divide each side by '0.04'. x = -25 Simplifying x = -25
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