simplify the expression

To simplify the expression \((2x + 4)(7x - 1)\), we can use the distributive property (also known as the FOIL method for binomials).

1. Distribute \(2x\) to both terms in the second binomial:
\[
2x \cdot 7x = 14x^2
\]
\[
2x \cdot (-1) = -2x
\]

2. Distribute \(4\) to both terms in the second binomial:
\[
4 \cdot 7x = 28x
\]
\[
4 \cdot (-1) = -4
\]

3. Now combine all the terms:
\[
14x^2 - 2x + 28x - 4
\]

4. Combine the like terms \(-2x\) and \(28x\):
\[
-2x + 28x = 26x
\]

So the simplified expression is:
\[
\boxed{14x^2 + 26x - 4}
\]