Question

use the distributive property to write equivalent expressions. rewrite the expression using fewer terms. $15x - 12(6 - 7x)$ $= 15x + -12(6 + -7x)$ $= 15x + (-12 \cdot 6) + (-12 \cdot -7x)$ $= 15x + (-72) + 84x$ $= \square + \square$

Explanation:

Step1: Combine like terms (x terms)

We have \(15x + 84x\). To combine these, we add their coefficients: \(15 + 84 = 99\), so \(15x + 84x = 99x\).

Step2: Keep the constant term

The constant term is \(-72\) (from \(15x + (-72) + 84x\)).

Step3: Form the simplified expression

Combine the results from Step1 and Step2: \(99x + (-72)\) (or \(99x - 72\)).

Answer:

\(99x\) + \(-72\) (or \(99x - 72\))