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Simplifying 0.666x + 5 = 0.333x + 14 Reorder the terms: 5 + 0.666x = 0.333x + 14 Reorder the terms: 5 + 0.666x = 14 + 0.333x Solving 5 + 0.666x = 14 + 0.333x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.333x' to each side of the equation. 5 + 0.666x + -0.333x = 14 + 0.333x + -0.333x Combine like terms: 0.666x + -0.333x = 0.333x 5 + 0.333x = 14 + 0.333x + -0.333x Combine like terms: 0.333x + -0.333x = 0.000 5 + 0.333x = 14 + 0.000 5 + 0.333x = 14 Add '-5' to each side of the equation. 5 + -5 + 0.333x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 0.333x = 14 + -5 0.333x = 14 + -5 Combine like terms: 14 + -5 = 9 0.333x = 9 Divide each side by '0.333'. x = 27.02702703 Simplifying x = 27.02702703
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