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\[\large\dfrac{x^2+x^4+x^6+x^8+x^{10}}{x^2-x^4+x^6-x^8+x^{10}}=\dfrac{x^3+x^5+x^7+x^9+x^{11}}{x^3-x^5+x^7-x^9+x^{11}}\]

Does the equation above hold true for all real \(x\ne0\)?

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