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Simplifying 0.5x + 3 = 0.667x + 1 Reorder the terms: 3 + 0.5x = 0.667x + 1 Reorder the terms: 3 + 0.5x = 1 + 0.667x Solving 3 + 0.5x = 1 + 0.667x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.667x' to each side of the equation. 3 + 0.5x + -0.667x = 1 + 0.667x + -0.667x Combine like terms: 0.5x + -0.667x = -0.167x 3 + -0.167x = 1 + 0.667x + -0.667x Combine like terms: 0.667x + -0.667x = 0.000 3 + -0.167x = 1 + 0.000 3 + -0.167x = 1 Add '-3' to each side of the equation. 3 + -3 + -0.167x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -0.167x = 1 + -3 -0.167x = 1 + -3 Combine like terms: 1 + -3 = -2 -0.167x = -2 Divide each side by '-0.167'. x = 11.9760479 Simplifying x = 11.9760479
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