29. 5 sin(x + pi/4) = -1.

Divide both sides by 5:

sin(x + pi/4) = -1/5

Take the arcsin of both sides:

x + pi/4 = arcsin(-1/5) + 2*n*pi or x + pi/4 = pi - arcsin(-1/5) + 2*n*pi

Solve for x:

x = arcsin(-1/5) - pi/4 + 2*n*pi or x = 3*pi/4 - arcsin(-1/5) + 2*n*pi, where n is an integer.