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\(3(x+5)\)

\(x\) \(5\)
\(3\) \(3x\) \(15\)
\begin{align}3x + 15 \end{align}

\(4(x-3)\)

\(x\) \(-3\)
\(4\) \(4x\) \(-12\)
\begin{align}4x-12 \end{align}

\(2x(x+7)\)

\(x\) \(7\)
\(2x\) \(2x^2\) \(14x\)
\begin{align}2x^2 +14x\end{align}

\(3x(4-x)\)

\(4\) \(-x\)
\(3x\) \(12x\) \(-3x^2\)
\begin{align}-3x^2 + 12x\end{align}