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Simplifying 6.94(x + 9.28) = 1.91(x + 7.87) Reorder the terms: 6.94(9.28 + x) = 1.91(x + 7.87) (9.28 * 6.94 + x * 6.94) = 1.91(x + 7.87) (64.4032 + 6.94x) = 1.91(x + 7.87) Reorder the terms: 64.4032 + 6.94x = 1.91(7.87 + x) 64.4032 + 6.94x = (7.87 * 1.91 + x * 1.91) 64.4032 + 6.94x = (15.0317 + 1.91x) Solving 64.4032 + 6.94x = 15.0317 + 1.91x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.91x' to each side of the equation. 64.4032 + 6.94x + -1.91x = 15.0317 + 1.91x + -1.91x Combine like terms: 6.94x + -1.91x = 5.03x 64.4032 + 5.03x = 15.0317 + 1.91x + -1.91x Combine like terms: 1.91x + -1.91x = 0.00 64.4032 + 5.03x = 15.0317 + 0.00 64.4032 + 5.03x = 15.0317 Add '-64.4032' to each side of the equation. 64.4032 + -64.4032 + 5.03x = 15.0317 + -64.4032 Combine like terms: 64.4032 + -64.4032 = 0.0000 0.0000 + 5.03x = 15.0317 + -64.4032 5.03x = 15.0317 + -64.4032 Combine like terms: 15.0317 + -64.4032 = -49.3715 5.03x = -49.3715 Divide each side by '5.03'. x = -9.815407555 Simplifying x = -9.815407555
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