11.49^5x+2=(1/7)^11-x
\(11.49^5x+2=(1/7)^{11}-x\\ 11.49^5x+x=(1/7)^{11}-2\\ x(1+11.49^5)=(1/7)^{11}-2\\ x=\frac{(1/7)^{11}-2}{(1+11.49^5)}\)
x approx equal (1/7^11-2)/(1+11.49^5) = -0.0000099868306047