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Simplifying 0.1(0.1x + 0.5) = -0.6 Reorder the terms: 0.1(0.5 + 0.1x) = -0.6 (0.5 * 0.1 + 0.1x * 0.1) = -0.6 (0.05 + 0.01x) = -0.6 Solving 0.05 + 0.01x = -0.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05' to each side of the equation. 0.05 + -0.05 + 0.01x = -0.6 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 0.01x = -0.6 + -0.05 0.01x = -0.6 + -0.05 Combine like terms: -0.6 + -0.05 = -0.65 0.01x = -0.65 Divide each side by '0.01'. x = -65 Simplifying x = -65
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