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Question: What is the value of x if 23.5 – 2(x + 5) = 25x?
To find the value of \( x \) in the equation \( 23.5 - 2(x + 5) = 25x \), follow these steps: Start with the equation: \[ 23.5 - 2(x + 5) = 25x \] Distribute \(-2\) inside the parentheses: \[ 23.5 - 2x - 10 = 25x \] Combine like terms on the left side: \[ 13.5 - 2x = 25x \] Move \( -2x \) to the right side by adding \( 2x \) to both sides: \[ 13.5 = 27x \] Solve for \( x \) by dividing both sides by 27: \[ x = \frac{13.5}{27} \] Simplify the fraction: \[ x = \frac{1.5}{3} = \frac{1}{2} \] So, the value of \( x \) is \( \frac{1}{2} \).
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