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Simplifying 1.05(2.38x + 6.81) = 12.84 + -3.25x Reorder the terms: 1.05(6.81 + 2.38x) = 12.84 + -3.25x (6.81 * 1.05 + 2.38x * 1.05) = 12.84 + -3.25x (7.1505 + 2.499x) = 12.84 + -3.25x Solving 7.1505 + 2.499x = 12.84 + -3.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.25x' to each side of the equation. 7.1505 + 2.499x + 3.25x = 12.84 + -3.25x + 3.25x Combine like terms: 2.499x + 3.25x = 5.749x 7.1505 + 5.749x = 12.84 + -3.25x + 3.25x Combine like terms: -3.25x + 3.25x = 0.00 7.1505 + 5.749x = 12.84 + 0.00 7.1505 + 5.749x = 12.84 Add '-7.1505' to each side of the equation. 7.1505 + -7.1505 + 5.749x = 12.84 + -7.1505 Combine like terms: 7.1505 + -7.1505 = 0.0000 0.0000 + 5.749x = 12.84 + -7.1505 5.749x = 12.84 + -7.1505 Combine like terms: 12.84 + -7.1505 = 5.6895 5.749x = 5.6895 Divide each side by '5.749'. x = 0.989650374 Simplifying x = 0.989650374
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