Simplify x(2y-5z+1)

$x (2 y - 5 z + 1)$

Apply the distributive property.

$x (2 y) + x (- 5 z) + x \cdot 1$

Simplify.

Rewrite using the commutative property of multiplication.

$2 x y + x (- 5 z) + x \cdot 1$

Rewrite using the commutative property of multiplication.

$2 x y - 5 x z + x \cdot 1$

Multiply $x$ by $1$ .

$2 x y - 5 x z + x$