Final answer:
To simplify the expression 5a + 14bc + 10b + 7ac, group like terms together and factor out common factors. The simplified expression is 5a + 7ac + 14bc + 10b.
Step-by-step explanation:
To simplify the expression 5a + 14bc + 10b + 7ac, we can group like terms together. The terms that have the same variable raised to the same power can be combined. Grouping the terms, we have (5a + 7ac) + (14bc + 10b). Now, we can factor out the common factors from each group: a from the first group and b from the second group. This gives us a(5 + 7c) + b(14c + 10). Hence, the simplified expression is 5a + 7ac + 14bc + 10b.