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Simplifying 0.5x + 0.333x + 6 = x Reorder the terms: 6 + 0.5x + 0.333x = x Combine like terms: 0.5x + 0.333x = 0.833x 6 + 0.833x = x Solving 6 + 0.833x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 0.833x + -1x = x + -1x Combine like terms: 0.833x + -1x = -0.167x 6 + -0.167x = x + -1x Combine like terms: x + -1x = 0 6 + -0.167x = 0 Add '-6' to each side of the equation. 6 + -6 + -0.167x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -0.167x = 0 + -6 -0.167x = 0 + -6 Combine like terms: 0 + -6 = -6 -0.167x = -6 Divide each side by '-0.167'. x = 35.92814371 Simplifying x = 35.92814371
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