To solve the equation \( 10x + 5 = 7x - 16 \), we can follow these steps:
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Subtract \( 7x \) from both sides: \[ 10x - 7x + 5 = -16 \] Simplifying this gives: \[ 3x + 5 = -16 \]
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Next, subtract 5 from both sides: \[ 3x = -16 - 5 \] Simplifying this gives: \[ 3x = -21 \]
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Now, divide both sides by 3: \[ x = \frac{-21}{3} \] Simplifying this gives: \[ x = -7 \]
The solution is \( x = -7 \).