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Simplifying 0.2(3x + 0.5) = 0 Reorder the terms: 0.2(0.5 + 3x) = 0 (0.5 * 0.2 + 3x * 0.2) = 0 (0.1 + 0.6x) = 0 Solving 0.1 + 0.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.6x = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.6x = 0 + -0.1 0.6x = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 0.6x = -0.1 Divide each side by '0.6'. x = -0.1666666667 Simplifying x = -0.1666666667
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