Questions: Simplify. Use the distributive property to remove the parentheses. Then, combine like terms. 2(5-x)-2(-6-9x)

Solution Steps

To simplify the given expression, we will first use the distributive property to remove the parentheses. Then, we will combine like terms to get the final simplified expression.

First, we apply the distributive property to remove the parentheses: \[ 2(5 - x) - 2(-6 - 9x) \] This gives us: \[ 2 \cdot 5 - 2 \cdot x - 2 \cdot (-6) - 2 \cdot (-9x) \] Simplifying each term, we get: \[ 10 - 2x + 12 + 18x \]

Next, we combine the like terms: \[ 10 + 12 - 2x + 18x \] This simplifies to: \[ 22 + 16x \]

Final Answer