Answer :

Let's solve the equation step-by-step:

We have the equation:
[tex]\[
-x + 282 = 181
\][/tex]

Step 1: Isolate [tex]\( -x \)[/tex] by subtracting 282 from both sides of the equation.
[tex]\[
-x + 282 - 282 = 181 - 282
\][/tex]

This simplifies to:
[tex]\[
-x = -101
\][/tex]

Step 2: Solve for [tex]\( x \)[/tex] by multiplying both sides by -1 to get rid of the negative sign in front of [tex]\( x \)[/tex].
[tex]\[
-x \times (-1) = -101 \times (-1)
\][/tex]

This gives us:
[tex]\[
x = 101
\][/tex]

So, the solution for [tex]\( x \)[/tex] is [tex]\( 101 \)[/tex].

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