To simplify the expression \(7x + (4y - x) - (5x + 4y)\), let's break it down step by step.
Distribute the negative sign in front of the second term: \[ 7x + 4y - x - 5x - 4y \]
Combine like terms. Start with the \(x\) terms: \[ (7x - x - 5x) + (4y - 4y) \]
This simplifies as follows: \[ 7x - x - 5x = (7 - 1 - 5)x = 1x = x \] And for the \(y\) terms: \[ 4y - 4y = 0 \]
Therefore, the expression simplifies to: \[ x + 0 = x \]
The final answer is: \[ \boxed{x} \]
