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\( x > 23 \)
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The Deep Dive
To solve the inequality \( 3x - 1 > 2(x + 11) \), we'll start by distributing the \( 2 \) on the right side: 1. Distribute: \[ 3x - 1 > 2x + 22 \] 2. Next, let's isolate \( x \) by subtracting \( 2x \) from both sides: \[ 3x - 2x - 1 > 22 \] which simplifies to \[ x - 1 > 22 \] 3. Now, add \( 1 \) to both sides to solve for \( x \): \[ x > 23 \] Thus, the solution is \( x > 23 \).
