To solve the equation \( 2x + 3 = x - 7 \), follow these steps:
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Subtract \( x \) from both sides: \[ 2x - x + 3 = -7 \] This simplifies to: \[ x + 3 = -7 \]
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Next, subtract 3 from both sides: \[ x = -7 - 3 \] This gives: \[ x = -10 \]
So, the solution is: \[ \boxed{-10} \]