1. Stating the problem: Simplify the expression $5x2(5x)2$. 2. Understand the expression: The expression can be interpreted as $5 \times 2 \times (5x) \times 2$. 3. Use the associative and commutative properties of multiplication to rearrange and group the constants and variables: $$5 \times 2 \times 2 \times 5x$$ 4. Multiply the constants: $$5 \times 2 = 10$$ $$10 \times 2 = 20$$ $$20 \times 5 = 100$$ 5. Now multiply by $x$: $$100 \times x = 100x$$ 6. Final simplified expression is: $$100x$$