1. The problem is to simplify the expression $2x \times 2x$. 2. The multiplication of two terms involves multiplying their coefficients and variables separately. 3. Multiply the coefficients: $2 \times 2 = 4$. 4. Multiply the variables: $x \times x = x^2$. 5. Combine the results: $4x^2$. 6. Therefore, the simplified form of $2x \times 2x$ is $4x^2$.