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Answer:
[tex]5\dfrac{7}{8} c +7[/tex]
Step-by-step explanation:
The like terms are the ones containing the variable 'c'. They are combined by adding their coefficients.
Working just with the coefficients of c, we have ...
[tex]2\dfrac{3}{4} +3\dfrac{1}{8}=(2+3)+\left(\dfrac{6}{8}+\dfrac{1}{8}\right)=5\dfrac{7}{8}[/tex]
Then the simplified expression is ...
(2 3/4)c +(3 1/8)c +7
= (5 7/8)c +7