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x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12=1,652 equation

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     2    3    4    5    6    7    8    9    10    11    12   413
x + x  + x  + x  + x  + x  + x  + x  + x  + x   + x   + x   = ---
                                                              250
$$x^{12} + \left(x^{11} + \left(x^{10} + \left(x^{9} + \left(x^{8} + \left(x^{7} + \left(x^{6} + \left(x^{5} + \left(x^{4} + \left(x^{3} + \left(x^{2} + x\right)\right)\right)\right)\right)\right)\right)\right)\right)\right) = \frac{413}{250}$$