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Simplifying 0.5(x + 5) = 0.33333x + 0.25 Reorder the terms: 0.5(5 + x) = 0.33333x + 0.25 (5 * 0.5 + x * 0.5) = 0.33333x + 0.25 (2.5 + 0.5x) = 0.33333x + 0.25 Reorder the terms: 2.5 + 0.5x = 0.25 + 0.33333x Solving 2.5 + 0.5x = 0.25 + 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. 2.5 + 0.5x + -0.33333x = 0.25 + 0.33333x + -0.33333x Combine like terms: 0.5x + -0.33333x = 0.16667x 2.5 + 0.16667x = 0.25 + 0.33333x + -0.33333x Combine like terms: 0.33333x + -0.33333x = 0.00000 2.5 + 0.16667x = 0.25 + 0.00000 2.5 + 0.16667x = 0.25 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.16667x = 0.25 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.16667x = 0.25 + -2.5 0.16667x = 0.25 + -2.5 Combine like terms: 0.25 + -2.5 = -2.25 0.16667x = -2.25 Divide each side by '0.16667'. x = -13.49973001 Simplifying x = -13.49973001
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