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Simplifying 0.20x + 0.82 = -0.13x + 3.34 Reorder the terms: 0.82 + 0.20x = -0.13x + 3.34 Reorder the terms: 0.82 + 0.20x = 3.34 + -0.13x Solving 0.82 + 0.20x = 3.34 + -0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.13x' to each side of the equation. 0.82 + 0.20x + 0.13x = 3.34 + -0.13x + 0.13x Combine like terms: 0.20x + 0.13x = 0.33x 0.82 + 0.33x = 3.34 + -0.13x + 0.13x Combine like terms: -0.13x + 0.13x = 0.00 0.82 + 0.33x = 3.34 + 0.00 0.82 + 0.33x = 3.34 Add '-0.82' to each side of the equation. 0.82 + -0.82 + 0.33x = 3.34 + -0.82 Combine like terms: 0.82 + -0.82 = 0.00 0.00 + 0.33x = 3.34 + -0.82 0.33x = 3.34 + -0.82 Combine like terms: 3.34 + -0.82 = 2.52 0.33x = 2.52 Divide each side by '0.33'. x = 7.636363636 Simplifying x = 7.636363636
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