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Simplifying 0.6x + 8 = 0.333x + 12 Reorder the terms: 8 + 0.6x = 0.333x + 12 Reorder the terms: 8 + 0.6x = 12 + 0.333x Solving 8 + 0.6x = 12 + 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. 8 + 0.6x + -0.333x = 12 + 0.333x + -0.333x Combine like terms: 0.6x + -0.333x = 0.267x 8 + 0.267x = 12 + 0.333x + -0.333x Combine like terms: 0.333x + -0.333x = 0.000 8 + 0.267x = 12 + 0.000 8 + 0.267x = 12 Add '-8' to each side of the equation. 8 + -8 + 0.267x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 0.267x = 12 + -8 0.267x = 12 + -8 Combine like terms: 12 + -8 = 4 0.267x = 4 Divide each side by '0.267'. x = 14.98127341 Simplifying x = 14.98127341
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