Question

simplify the expression:
8(10 + -7x) + -9

Explanation:

Step1: Apply the distributive property

We use the distributive property \(a(b + c)=ab+ac\) to expand \(8(10 + (-7x))\). So we have \(8\times10+8\times(-7x)\). Calculating these, we get \(80 - 56x\).

Step2: Combine the constant terms

Now we have the expression \(80 - 56x+(-9)\). Combining the constant terms \(80\) and \(-9\), we do \(80-9 = 71\). So the simplified expression is \(-56x + 71\) (or \(71-56x\)).

Answer:

\(-56x + 71\)