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Simplifying 0.34x + 2.82 = 3 + -0.38x Reorder the terms: 2.82 + 0.34x = 3 + -0.38x Solving 2.82 + 0.34x = 3 + -0.38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.38x' to each side of the equation. 2.82 + 0.34x + 0.38x = 3 + -0.38x + 0.38x Combine like terms: 0.34x + 0.38x = 0.72x 2.82 + 0.72x = 3 + -0.38x + 0.38x Combine like terms: -0.38x + 0.38x = 0.00 2.82 + 0.72x = 3 + 0.00 2.82 + 0.72x = 3 Add '-2.82' to each side of the equation. 2.82 + -2.82 + 0.72x = 3 + -2.82 Combine like terms: 2.82 + -2.82 = 0.00 0.00 + 0.72x = 3 + -2.82 0.72x = 3 + -2.82 Combine like terms: 3 + -2.82 = 0.18 0.72x = 0.18 Divide each side by '0.72'. x = 0.25 Simplifying x = 0.25
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