Sure! Let's go through the steps to match the items correctly:
Step 1: Simplify the equation by combining like terms.
1. [tex]\(2x + x + 4 = -17\)[/tex]
Here, we need to combine the terms [tex]\(2x\)[/tex] and [tex]\(x\)[/tex] which both have the variable [tex]\(x\)[/tex].
[tex]\[2x + x = 3x\][/tex]
So, the equation simplifies to:
[tex]\[3x + 4 = -17\][/tex]
Step 2: Isolate the variable [tex]\(x\)[/tex] by performing subtraction.
2. [tex]\(3x + 4 = -17\)[/tex]
To isolate [tex]\(3x\)[/tex], subtract 4 from both sides:
[tex]\[3x + 4 - 4 = -17 - 4\][/tex]
This simplifies to:
[tex]\[3x = -21\][/tex]
Step 3: Solve for [tex]\(x\)[/tex] by performing division.
3. [tex]\(3x = -21\)[/tex]
To solve for [tex]\(x\)[/tex], divide both sides by 3:
[tex]\[\frac{3x}{3} = \frac{-21}{3}\][/tex]
This simplifies to:
[tex]\[x = -7\][/tex]
Step 4: The final solution is [tex]\(x = -7\)[/tex].
4. [tex]\(x = -7\)[/tex]
Matching the items with the appropriate operation, we get:
1. [tex]\(2x + x + 4 = -17\)[/tex] ☐ combine like terms
2. [tex]\(3x + 4 = -17\)[/tex] ☐ subtraction
3. [tex]\(3x = -21\)[/tex] ☐ division
4. [tex]\(x = -7\)[/tex] ☐
So, the correct matching is:
1. [tex]\(2x + x + 4 = -17\)[/tex] ☐ combine like terms
2. [tex]\(3x + 4 = -17\)[/tex] ☐ subtraction
3. [tex]\(3x = -21\)[/tex] ☐ division
4. [tex]\(x = -7\)[/tex] ☐
