Simplify kp(x+1)-kp

$k p (x + 1) - k p$

Simplify each term.

Apply the distributive property.

$k p x + k p \cdot 1 - k p$

Multiply $k$ by $1$ .

$k p x + k p - k p$

Combine the opposite terms in $k p x + k p - k p$ .

Subtract $k p$ from $k p$ .

$k p x + 0$

Add $k p x$ and $0$ .

$k p x$