Simplify the following expressions.

1. 7(9) + 7(5)
2. 2(5x -1) + 14x

1 answer

Let's simplify each expression step by step.

  1. 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 \( 98 \).

  2. 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:

  1. \( 7(9) + 7(5) = 98 \)
  2. \( 2(5x - 1) + 14x = 24x - 2 \)
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