Let's simplify the expression [tex]\(2x + 3y - x - (8 + 1)\)[/tex] step-by-step to find the equivalent expression.
1. Start with the given expression:
[tex]\[
2x + 3y - x - (8 + 1)
\][/tex]
2. Simplify the terms inside the parentheses:
[tex]\[
8 + 1 = 9
\][/tex]
Now the expression becomes:
[tex]\[
2x + 3y - x - 9
\][/tex]
3. Combine like terms. Notice that [tex]\(2x\)[/tex] and [tex]\(-x\)[/tex] are like terms:
[tex]\[
2x - x = x
\][/tex]
Now, substitute back into the expression:
[tex]\[
x + 3y - 9
\][/tex]
The simplified expression is:
[tex]\[
x + 3y - 9
\][/tex]
Therefore, the expression equivalent to [tex]\(2x + 3y - x - (8 + 1)\)[/tex] is:
[tex]\[
\boxed{x + 3y - 9}
\][/tex]