Real addition#1

All the digits of a number lie between $0$ and $9$ inclusive. So the valid equations are (since all the letters represent distinct digits) :

(i) $2E+2=10+E$ , or $E=8$

(ii) $2E+I=20+T$ , so that $T=1, I=5$

(iii) $2S+1=10+W$ , so that $W=3, S=6$

(iv) $2V+8=20+N$ , so that $V=7, N=2$

(v) $2N+X=Y$ , so that $X=0, Y=4$

Hence $\overline {SEVEN}=68782, \overline {SIX}=650$ , and the final answer is $\boxed {69432}$