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Simplifying 0.333(x + 0.5) + 3x = 0 Reorder the terms: 0.333(0.5 + x) + 3x = 0 (0.5 * 0.333 + x * 0.333) + 3x = 0 (0.1665 + 0.333x) + 3x = 0 Combine like terms: 0.333x + 3x = 3.333x 0.1665 + 3.333x = 0 Solving 0.1665 + 3.333x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1665' to each side of the equation. 0.1665 + -0.1665 + 3.333x = 0 + -0.1665 Combine like terms: 0.1665 + -0.1665 = 0.0000 0.0000 + 3.333x = 0 + -0.1665 3.333x = 0 + -0.1665 Combine like terms: 0 + -0.1665 = -0.1665 3.333x = -0.1665 Divide each side by '3.333'. x = -0.0499549955 Simplifying x = -0.0499549955
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