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Simplifying 3.9(0.9x + 7.34) = -3.78x Reorder the terms: 3.9(7.34 + 0.9x) = -3.78x (7.34 * 3.9 + 0.9x * 3.9) = -3.78x (28.626 + 3.51x) = -3.78x Solving 28.626 + 3.51x = -3.78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.78x' to each side of the equation. 28.626 + 3.51x + 3.78x = -3.78x + 3.78x Combine like terms: 3.51x + 3.78x = 7.29x 28.626 + 7.29x = -3.78x + 3.78x Combine like terms: -3.78x + 3.78x = 0.00 28.626 + 7.29x = 0.00 Add '-28.626' to each side of the equation. 28.626 + -28.626 + 7.29x = 0.00 + -28.626 Combine like terms: 28.626 + -28.626 = 0.000 0.000 + 7.29x = 0.00 + -28.626 7.29x = 0.00 + -28.626 Combine like terms: 0.00 + -28.626 = -28.626 7.29x = -28.626 Divide each side by '7.29'. x = -3.926748971 Simplifying x = -3.926748971
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