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Simplifying 0.5x + -3 = -0.33x + 2 Reorder the terms: -3 + 0.5x = -0.33x + 2 Reorder the terms: -3 + 0.5x = 2 + -0.33x Solving -3 + 0.5x = 2 + -0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.33x' to each side of the equation. -3 + 0.5x + 0.33x = 2 + -0.33x + 0.33x Combine like terms: 0.5x + 0.33x = 0.83x -3 + 0.83x = 2 + -0.33x + 0.33x Combine like terms: -0.33x + 0.33x = 0.00 -3 + 0.83x = 2 + 0.00 -3 + 0.83x = 2 Add '3' to each side of the equation. -3 + 3 + 0.83x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 0.83x = 2 + 3 0.83x = 2 + 3 Combine like terms: 2 + 3 = 5 0.83x = 5 Divide each side by '0.83'. x = 6.024096386 Simplifying x = 6.024096386
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