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Simplifying 0.5x + 6 = 0.33333x + 7 Reorder the terms: 6 + 0.5x = 0.33333x + 7 Reorder the terms: 6 + 0.5x = 7 + 0.33333x Solving 6 + 0.5x = 7 + 0.33333x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33333x' to each side of the equation. 6 + 0.5x + -0.33333x = 7 + 0.33333x + -0.33333x Combine like terms: 0.5x + -0.33333x = 0.16667x 6 + 0.16667x = 7 + 0.33333x + -0.33333x Combine like terms: 0.33333x + -0.33333x = 0.00000 6 + 0.16667x = 7 + 0.00000 6 + 0.16667x = 7 Add '-6' to each side of the equation. 6 + -6 + 0.16667x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 0.16667x = 7 + -6 0.16667x = 7 + -6 Combine like terms: 7 + -6 = 1 0.16667x = 1 Divide each side by '0.16667'. x = 5.999880002 Simplifying x = 5.999880002
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