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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 = -0.27x 28.626 + -0.27x = 3.78x + -3.78x Combine like terms: 3.78x + -3.78x = 0.00 28.626 + -0.27x = 0.00 Add '-28.626' to each side of the equation. 28.626 + -28.626 + -0.27x = 0.00 + -28.626 Combine like terms: 28.626 + -28.626 = 0.000 0.000 + -0.27x = 0.00 + -28.626 -0.27x = 0.00 + -28.626 Combine like terms: 0.00 + -28.626 = -28.626 -0.27x = -28.626 Divide each side by '-0.27'. x = 106.0222222 Simplifying x = 106.0222222
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