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Simplifying 0.6666x + 5 = 0.5x + 6 Reorder the terms: 5 + 0.6666x = 0.5x + 6 Reorder the terms: 5 + 0.6666x = 6 + 0.5x Solving 5 + 0.6666x = 6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5 + 0.6666x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: 0.6666x + -0.5x = 0.1666x 5 + 0.1666x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 0.1666x = 6 + 0.0 5 + 0.1666x = 6 Add '-5' to each side of the equation. 5 + -5 + 0.1666x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 0.1666x = 6 + -5 0.1666x = 6 + -5 Combine like terms: 6 + -5 = 1 0.1666x = 1 Divide each side by '0.1666'. x = 6.00240096 Simplifying x = 6.00240096
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