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Simplifying (0.5x) + 6 = (0.33x) Reorder the terms: 6 + (0.5x) = (0.33x) Solving 6 + (0.5x) = (0.33x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-0.33x)' to each side of the equation. 6 + (0.5x) + (-0.33x) = (0.33x) + (-0.33x) Combine like terms: (0.5x) + (-0.33x) = 0.17x 6 + 0.17x = (0.33x) + (-0.33x) Combine like terms: (0.33x) + (-0.33x) = 0.00 6 + 0.17x = 0.00 Add '-6' to each side of the equation. 6 + -6 + 0.17x = 0.00 + -6 Combine like terms: 6 + -6 = 0 0 + 0.17x = 0.00 + -6 0.17x = 0.00 + -6 Combine like terms: 0.00 + -6 = -6 0.17x = -6 Divide each side by '0.17'. x = -35.29411765 Simplifying x = -35.29411765
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