To simplify the expression \(-\frac{2}{3}(12x - 6)\), we can distribute \(-\frac{2}{3}\) to each term inside the parentheses.
Starting with the expression:
\[ -\frac{2}{3}(12x - 6) \]
Distributing \(-\frac{2}{3}\):
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For the first term: \[ -\frac{2}{3} \cdot 12x = -\frac{24}{3}x = -8x \]
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For the second term: \[ -\frac{2}{3} \cdot (-6) = \frac{12}{3} = 4 \]
Putting these together, the expression becomes:
\[ -8x + 4 \]
So, the simplified expression representing the change in Jake's cafeteria account balance is:
\[ -8x + 4 \]