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Simplifying 0.5x + 3 = 1.167x + 0.33 Reorder the terms: 3 + 0.5x = 1.167x + 0.33 Reorder the terms: 3 + 0.5x = 0.33 + 1.167x Solving 3 + 0.5x = 0.33 + 1.167x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.167x' to each side of the equation. 3 + 0.5x + -1.167x = 0.33 + 1.167x + -1.167x Combine like terms: 0.5x + -1.167x = -0.667x 3 + -0.667x = 0.33 + 1.167x + -1.167x Combine like terms: 1.167x + -1.167x = 0.000 3 + -0.667x = 0.33 + 0.000 3 + -0.667x = 0.33 Add '-3' to each side of the equation. 3 + -3 + -0.667x = 0.33 + -3 Combine like terms: 3 + -3 = 0 0 + -0.667x = 0.33 + -3 -0.667x = 0.33 + -3 Combine like terms: 0.33 + -3 = -2.67 -0.667x = -2.67 Divide each side by '-0.667'. x = 4.002998501 Simplifying x = 4.002998501
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