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To simplify the expression \(2(x+1)(x+2)\), we can first expand the expression inside the parentheses:
\[
(x+1)(x+2) = x^2 + 2x + x + 2 = x^2 + 3x + 2
\]
Now, we multiply this result by 2:
\[
2(x^2 + 3x + 2) = 2x^2 + 6x + 4
\]
Thus, another way to write the expression \(2(x+1)(x+2)\) is:
\[
\boxed{2x^2 + 6x + 4}
\]