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Simplifying 0.1(0.5x + 0.5) = 0 Reorder the terms: 0.1(0.5 + 0.5x) = 0 (0.5 * 0.1 + 0.5x * 0.1) = 0 (0.05 + 0.05x) = 0 Solving 0.05 + 0.05x = 0 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 + 0.05x = 0 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 0.05x = 0 + -0.05 0.05x = 0 + -0.05 Combine like terms: 0 + -0.05 = -0.05 0.05x = -0.05 Divide each side by '0.05'. x = -1 Simplifying x = -1
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