In scribe 8 in the Off-policy section (page 6 down)

there is an update w_(t+1)=w_t+ alpha(0+gamma*2w_t - w_t )

I don't understand why there is no need to multiply the alpha(0+gamma*2w_t - w_t ) with another x(s_t).

If I understand correctly this is based on TD(0) and the update that is stated in page 5 is

_delta(w)= _alpha(r_t + _gamma(V^hat(s_(t+a);w_t)) - V^hat(s_t;w_t))x(s_t)

Why there is no x(s_t)?

If I understand more the specific example in that page it is supposed to be x(s_t)=w_t.

Am I right?