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\( \frac{{3x + 4}}{{x + 1}} = 2 \)
To solve this equation, let's first multiply both sides by \(x + 1\) to clear the fraction:
\[ 3x + 4 = 2(x + 1) \]
Now, distribute the 2 on the right side:
\[ 3x + 4 = 2x + 2 \]
Subtract \(2x\) from both sides:
\[ x + 4 = 2 \]
Subtract 4 from both sides to isolate \(x\):
\[ x = -2 \]
So, the solution to the equation is \(x = -2\).
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