The expression that is equivalent to -45 + 12 is: 3(-15 + 4).
To determine whether two expressions are equivalent to each other, we have to evaluate each of the expressions to see whether they are of equal value.
Given the expression, -45 + 12, the value is simplified as:
-45 + 12 = -33
Thus, evaluate each of the given options to determine which of them has a value of -33:
3(-15 + 4) = -45 + 12 = -33
5(-50 + 12) = -250 + 60 = -190
Thus, since the expression, 3(-15 + 4) equals -33, and -45 + 12 equals -33, therefore, the expression that is equivalent to -45 + 12 is: 3(-15 + 4).
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