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Simplifying 0.5x + -3 = -0.33x + 7 Reorder the terms: -3 + 0.5x = -0.33x + 7 Reorder the terms: -3 + 0.5x = 7 + -0.33x Solving -3 + 0.5x = 7 + -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 = 7 + -0.33x + 0.33x Combine like terms: 0.5x + 0.33x = 0.83x -3 + 0.83x = 7 + -0.33x + 0.33x Combine like terms: -0.33x + 0.33x = 0.00 -3 + 0.83x = 7 + 0.00 -3 + 0.83x = 7 Add '3' to each side of the equation. -3 + 3 + 0.83x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 0.83x = 7 + 3 0.83x = 7 + 3 Combine like terms: 7 + 3 = 10 0.83x = 10 Divide each side by '0.83'. x = 12.04819277 Simplifying x = 12.04819277
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