To solve the equation [tex]\( x = 0.7x + 24 \)[/tex] for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex]. Here are the steps involved:
1. Start with the given equation:
[tex]\[
x = 0.7x + 24
\][/tex]
2. Subtract [tex]\( 0.7x \)[/tex] from both sides to get all the [tex]\( x \)[/tex] terms on one side:
[tex]\[
x - 0.7x = 24
\][/tex]
3. Combine like terms on the left-hand side:
[tex]\[
0.3x = 24
\][/tex]
4. Divide both sides by 0.3 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{24}{0.3}
\][/tex]
5. Perform the division:
[tex]\[
x = 80
\][/tex]
So, the total number of sale items stocked on the shelves of the toy store for that week is [tex]\( x = 80 \)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{80} \][/tex]
