Substitute $x + 2$ into the original function: $f(x + h) = 3*(x + 2) - 5$.
Simplify the expression: $f(x + h) = 3_x + 3_2 - 5$.
The simplified form of the function after applying $x + h$ is: $f(x + h) = 3*x + 6 - 5$.
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