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Simplifying 11 = x + 1.618x Combine like terms: x + 1.618x = 2.618x 11 = 2.618x Solving 11 = 2.618x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.618x' to each side of the equation. 11 + -2.618x = 2.618x + -2.618x Combine like terms: 2.618x + -2.618x = 0.000 11 + -2.618x = 0.000 Add '-11' to each side of the equation. 11 + -11 + -2.618x = 0.000 + -11 Combine like terms: 11 + -11 = 0 0 + -2.618x = 0.000 + -11 -2.618x = 0.000 + -11 Combine like terms: 0.000 + -11 = -11 -2.618x = -11 Divide each side by '-2.618'. x = 4.201680672 Simplifying x = 4.201680672
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