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Simplifying 0.5x + 20 = 0.33x + 30 Reorder the terms: 20 + 0.5x = 0.33x + 30 Reorder the terms: 20 + 0.5x = 30 + 0.33x Solving 20 + 0.5x = 30 + 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. 20 + 0.5x + -0.33x = 30 + 0.33x + -0.33x Combine like terms: 0.5x + -0.33x = 0.17x 20 + 0.17x = 30 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 20 + 0.17x = 30 + 0.00 20 + 0.17x = 30 Add '-20' to each side of the equation. 20 + -20 + 0.17x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 0.17x = 30 + -20 0.17x = 30 + -20 Combine like terms: 30 + -20 = 10 0.17x = 10 Divide each side by '0.17'. x = 58.82352941 Simplifying x = 58.82352941
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