To solve the expression \((5x^2 + 3x) - (-10x + 7)\), we first need to distribute the negative sign across the second set of parentheses:
\[ (5x^2 + 3x) - (-10x + 7) = (5x^2 + 3x) + (10x - 7) \]
Now, we can combine like terms:
- For the \(x^2\) terms, we have \(5x^2\).
- For the \(x\) terms: \(3x + 10x = 13x\).
- For the constant terms: \(-7\).
Putting it all together, we have:
\[ 5x^2 + 13x - 7 \]
Thus, the simplified expression is:
\[ \boxed{5x^2 + 13x - 7} \]
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