1. The given expression is $28xy - 12x$. 2. To simplify, we look for the greatest common factor (GCF) of the terms. 3. The coefficients are 28 and 12. The GCF of 28 and 12 is 4. 4. Both terms have the variable $x$. So, $x$ is part of the GCF. 5. Factor out $4x$ from the expression: $$28xy - 12x = 4x(7y) - 4x(3) = 4x(7y - 3)$$ 6. The expression factored is $4x(7y - 3)$. 7. This is the simplified factorized form. Final answer: $4x(7y - 3)$