To determine the justification for Step 1 in the solution process, let's look at the original equation:
[tex]\[
-22 - x = 5 + 6x + 9
\][/tex]
Step 1 simplifies the right side of the equation:
[tex]\[
-22 - x = 14 + 6x
\][/tex]
To achieve this simplification, we combined the constant terms on the right side of the equation. Here’s the detailed process:
1. Identify the constant terms on the right side of the equation: [tex]\(5\)[/tex] and [tex]\(9\)[/tex].
2. Combine [tex]\(5\)[/tex] and [tex]\(9\)[/tex]:
[tex]\[
5 + 9 = 14
\][/tex]
So, the right side of the equation, [tex]\(5 + 6x + 9\)[/tex], simplifies to:
[tex]\[
14 + 6x
\][/tex]
Therefore, the equation becomes:
[tex]\[
-22 - x = 14 + 6x
\][/tex]
The mathematical operation used here is combining the like terms (the constant terms [tex]\(5\)[/tex] and [tex]\(9\)[/tex]). Thus, the justification for this step is:
[tex]\[
\boxed{\text{B. combining like terms}}
\][/tex]
