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x+2*x^2+3*x^3+4*x^4+5*x^5+6*x^6+7*x^7+8*x^8+9*x^9+10*x^10+11*x^11+12*x^12+13*x^13=105,9141 equation

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       2      3      4      5      6      7      8      9       10       11       12       13           
x + 2*x  + 3*x  + 4*x  + 5*x  + 6*x  + 7*x  + 8*x  + 9*x  + 10*x   + 11*x   + 12*x   + 13*x   = 105.9141
$$13 x^{13} + \left(12 x^{12} + \left(11 x^{11} + \left(10 x^{10} + \left(9 x^{9} + \left(8 x^{8} + \left(7 x^{7} + \left(6 x^{6} + \left(5 x^{5} + \left(4 x^{4} + \left(3 x^{3} + \left(2 x^{2} + x\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right) = 105.9141$$