To simplify the expression \(5a + 3b - 3a + 4b + 7c\), combine like terms:
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For the \(a\) terms: \(5a - 3a = 2a\)
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For the \(b\) terms: \(3b + 4b = 7b\)
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The \(c\) term remains the same since there are no other \(c\) terms: \(7c\)
Putting it all together, the simplified expression is:
\[ 2a + 7b + 7c \]