When simplifying the expression [tex]\(-7 - 7x + x + 2 - 2y + 2y\)[/tex], we need to combine like terms step-by-step.
1. Identify and combine the constant terms:
[tex]\[-7 + 2 = -5\][/tex]
2. Identify and combine the [tex]\(x\)[/tex]-terms:
[tex]\[-7x + x = -6x\][/tex]
3. Identify and combine the [tex]\(y\)[/tex]-terms:
[tex]\[-2y + 2y = 0\][/tex]
Since the [tex]\(y\)[/tex]-terms cancel each other out, we can omit them from the expression.
Bringing it all together, the final simplified expression is:
[tex]\[
-5 - 6x
\][/tex]
Hence, the result is:
[tex]\[
-5 - 6x
\][/tex]