Let's simplify each expression step by step.
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For the expression \( 7(9) + 7(5) \):
We can factor out the common term \( 7 \):
\[ 7(9) + 7(5) = 7(9 + 5) \]
Now, calculate the sum inside the parentheses:
\[ 9 + 5 = 14 \]
So, we have:
\[ 7(14) = 98 \]
Therefore, the simplified expression is \( 98 \).
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For the expression \( 2(5x - 1) + 14x \):
First, distribute \( 2 \) to both terms inside the parentheses:
\[ 2(5x) - 2(1) + 14x = 10x - 2 + 14x \]
Next, combine the like terms \( 10x \) and \( 14x \):
\[ 10x + 14x = 24x \]
So, we have:
\[ 24x - 2 \]
Therefore, the simplified expression is \( 24x - 2 \).
In summary:
- \( 7(9) + 7(5) = 98 \)
- \( 2(5x - 1) + 14x = 24x - 2 \)