Final Answer:
When ( x = -6 ), the expression ( 27x + 12) evaluates to ( -150).
Step-by-step explanation:
To evaluate ( 27x + 12) when ( x = -6), substitute ( -6) for ( x) in the expression:
[ 27 times (-6) + 12]
Now, perform the multiplication and addition:
[ -162 + 12]
Combine the terms:
[ -150 ]
Therefore, when ( x = -6), the expression ( 27x + 12) equals ( -150).
In summary, the process of evaluation involves substituting the given value of \( x \) into the expression and performing the indicated operations. In this case, replacing \( x \) with \( -6 \) and simplifying yields the final result of \( -150 \) for the expression \( 27x + 12 \).
Understanding how to substitute values into expressions and simplify according to the order of operations is fundamental in mathematics. It allows for the efficient computation of values under specific conditions, providing a numerical result for the given expression when the variable takes on a particular value.