To simplify the expression (x^2 + 2xy + x) / (2y^2 + xy + y), we can factor out common terms from the numerator and the denominator.

Expression: (x^2 + 2xy + x) / (2y^2 + xy + y)

Factor the numerator:
x^2 + 2xy + x = x(x + 2y + 1)

Factor the denominator:
2y^2 + xy + y = y(2y + x + 1)

Now, substitute the factored forms back into the expression:
(x(x + 2y + 1)) / (y(2y + x + 1))

The simplified expression is:
x(x + 2y + 1) / y(2y + x + 1)