Question

Rewrite in simplest terms: -7(4x-2)+7x

Answer 1

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Answer:
`-21x + 14`

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Given:
`-7\ (4x\ -\ 2)\ +\ 7x`

Find:
`\textsf{Simplify the expression}`

Solution: The first step that we need to take to simplifying the expression is to distribute the -7 value to the values inside of the parentheses.

• 
  `-7\ (4x\ -\ 2)\ +\ 7x`
• 
  `(-7\ *\ 4x) + (-7\ *\ - 2)\ +\ 7x`
• 
  `-28x\ +\ 14\ +\ 7x`

After doing the distribution, now we can combine like terms. Combine like terms means that we combine values that are similar to each other. For example, we have -28x and 7x which both have the x variable attached to a number. Therefore, we can combine those values to produce -21x.

Therefore, the final answer would be -21x + 14.