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To solve the equation \( \frac{2}{3}x = 10 \), you can follow these steps:
1. Multiply both sides of the equation by \( \frac{3}{2} \) to isolate \( x \):
\[
x = 10 \cdot \frac{3}{2}
\]
2. Calculate the right side:
\[
x = 10 \cdot 1.5 = 15
\]
Thus, the solution is:
\[
x = 15
\]