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Simplifying 0.6(0.1x + 0.5) = -0.6 Reorder the terms: 0.6(0.5 + 0.1x) = -0.6 (0.5 * 0.6 + 0.1x * 0.6) = -0.6 (0.3 + 0.06x) = -0.6 Solving 0.3 + 0.06x = -0.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.06x = -0.6 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.06x = -0.6 + -0.3 0.06x = -0.6 + -0.3 Combine like terms: -0.6 + -0.3 = -0.9 0.06x = -0.9 Divide each side by '0.06'. x = -15 Simplifying x = -15
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