We can start by defining a function $f(x, y, z) = Ax + By + Cz$, where $A$, $B$, and $C$ are constants.
Now, we need to find the values of $A$, $B$, and $C$ such that $f(2z, 7y, 6, 2x)$.
Plugging in the values, we get:
$f(2z, 7y, 6, 2x) = A(2z) + B(7y) +
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