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Simplifying 3.94x + 23.64 = 13.79x + 82.74 Reorder the terms: 23.64 + 3.94x = 13.79x + 82.74 Reorder the terms: 23.64 + 3.94x = 82.74 + 13.79x Solving 23.64 + 3.94x = 82.74 + 13.79x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.79x' to each side of the equation. 23.64 + 3.94x + -13.79x = 82.74 + 13.79x + -13.79x Combine like terms: 3.94x + -13.79x = -9.85x 23.64 + -9.85x = 82.74 + 13.79x + -13.79x Combine like terms: 13.79x + -13.79x = 0.00 23.64 + -9.85x = 82.74 + 0.00 23.64 + -9.85x = 82.74 Add '-23.64' to each side of the equation. 23.64 + -23.64 + -9.85x = 82.74 + -23.64 Combine like terms: 23.64 + -23.64 = 0.00 0.00 + -9.85x = 82.74 + -23.64 -9.85x = 82.74 + -23.64 Combine like terms: 82.74 + -23.64 = 59.1 -9.85x = 59.1 Divide each side by '-9.85'. x = -6 Simplifying x = -6
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