Question

which expressions are equivalent to $-5x - 15 + 25x - 30$? choose all that apply. $-5(x + 3 - 5x + 6)$ $-5(x - 3 + 5x - 6)$ $-5(-4x + 9)$ $-5(x + 3 - 5x - 6)$ $-5(6x - 9)$ $-5(x - 5x + 9)$

Explanation:

Step1: Simplify the original expression

Combine like terms:
$$-5x + 25x -15 -30 = 20x - 45$$

Step2: Simplify first option

Expand and combine like terms:
$$-5(x + 3 - 5x + 6) = -5(-4x + 9) = 20x - 45$$

Step3: Simplify second option

Expand and combine like terms:
$$-5(x - 3 + 5x - 6) = -5(6x - 9) = -30x + 45$$

Step4: Simplify third option

Expand the expression:
$$-5(-4x + 9) = 20x - 45$$

Step5: Simplify fourth option

Expand and combine like terms:
$$-5(x + 3 - 5x - 6) = -5(-4x - 3) = 20x + 15$$

Step6: Simplify fifth option

Expand the expression:
$$-5(6x - 9) = -30x + 45$$

Step7: Simplify sixth option

Expand and combine like terms:
$$-5(x - 5x + 9) = -5(-4x + 9) = 20x - 45$$

Answer:

$-5(x + 3 - 5x + 6)$, $-5(-4x + 9)$, $-5(x - 5x + 9)$