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Simplifying 0.5(0.1x + 0.7) = -0.5 Reorder the terms: 0.5(0.7 + 0.1x) = -0.5 (0.7 * 0.5 + 0.1x * 0.5) = -0.5 (0.35 + 0.05x) = -0.5 Solving 0.35 + 0.05x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35' to each side of the equation. 0.35 + -0.35 + 0.05x = -0.5 + -0.35 Combine like terms: 0.35 + -0.35 = 0.00 0.00 + 0.05x = -0.5 + -0.35 0.05x = -0.5 + -0.35 Combine like terms: -0.5 + -0.35 = -0.85 0.05x = -0.85 Divide each side by '0.05'. x = -17 Simplifying x = -17
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