Answer :

To solve the equation [tex]\(-x + 172 = 64\)[/tex] for [tex]\(x\)[/tex], we can follow these simple steps:

1. Start with the given equation:
[tex]\[
-x + 172 = 64
\][/tex]

2. We want to isolate [tex]\(-x\)[/tex], so subtract 172 from both sides of the equation:
[tex]\[
-x + 172 - 172 = 64 - 172
\][/tex]

3. This simplifies to:
[tex]\[
-x = -108
\][/tex]

4. Now, to solve for [tex]\(x\)[/tex], we need to eliminate the negative sign in front of [tex]\(x\)[/tex]. Do this by multiplying both sides of the equation by [tex]\(-1\)[/tex]:
[tex]\[
x = 108
\][/tex]

Thus, the solution for [tex]\(x\)[/tex] is [tex]\(108\)[/tex].

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