Add \( 4 \) to both sides of the equation to isolate the term with \( x \): \[ 7x - 4 + 4 = 31 + 4 \] \[ 7x = 35 \]
Divide both sides of the equation by \( 7 \) to solve for \( x \): \[ \frac{7x}{7} = \frac{35}{7} \] \[ x = 5 \]
\(\boxed{x = 5}\)
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