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The simplified expression is \( 5x + 13 \).
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To simplify the expression \( 5(x+4)-7 \), start by distributing the 5 into the parentheses. This gives you: \[ 5 \cdot x + 5 \cdot 4 - 7 = 5x + 20 - 7. \] Next, combine the constant terms \( 20 \) and \( -7 \): \[ 5x + 20 - 7 = 5x + 13. \] So the simplified expression is: \[ 5x + 13. \]