Certainly! Let's solve the given expression step by step.
We start with the expression:
[tex]\[ -2(x + 5) - 13 + 9x \][/tex]
### Step 1: Distribute
First, we'll distribute the [tex]\(-2\)[/tex] across the terms inside the parentheses:
[tex]\[ -2 \cdot x + -2 \cdot 5 - 13 + 9x \][/tex]
This simplifies to:
[tex]\[ -2x - 10 - 13 + 9x \][/tex]
### Step 2: Combine Like Terms
Next, we'll combine the like terms. Let's identify and group them together:
- Terms with [tex]\(x\)[/tex]: [tex]\(-2x\)[/tex] and [tex]\(9x\)[/tex]
- Constant terms: [tex]\(-10\)[/tex] and [tex]\(-13\)[/tex]
Combining the [tex]\(x\)[/tex] terms:
[tex]\[ -2x + 9x = 7x \][/tex]
Combining the constant terms:
[tex]\[ -10 - 13 = -23 \][/tex]
### Step 3: Write the Simplified Expression
So, combining these results, the simplified expression is:
[tex]\[ 7x - 23 \][/tex]
Thus, the simplified form of the given expression [tex]\(-2(x+5)-13+9x\)[/tex] is:
[tex]\[ 7x - 23 \][/tex]
