To determine an expression equivalent to \( \frac{1}{4}x - 36 \), we can factor out the common term or manipulate the expression. Here are a few options that maintain the equivalence:
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Multiply the entire expression by 4 to eliminate the fraction: \[ 4 \left( \frac{1}{4}x - 36 \right) = x - 144. \]
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If we wanted to rewrite the expression while keeping it in terms of \( x \): \[ \frac{1}{4}x - 36 = \frac{1}{4}(x - 144). \] This shows that the expression is also equivalent to a factored form.
If you have specific options to choose from, please share them, and I can help you identify which one is equivalent!