Questions: -x-7x+6y+8y

-x-7x+6y+8y
Transcript text: $-x-7 x+6 y+8 y$
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Solution

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Solution Steps

Step 1: Identify Like Terms

In the expression \(-x - 7x + 6y + 8y\), we need to identify the like terms. Like terms are terms that have the same variable raised to the same power.

  • The terms \(-x\) and \(-7x\) are like terms because they both contain the variable \(x\).
  • The terms \(6y\) and \(8y\) are like terms because they both contain the variable \(y\).
Step 2: Combine Like Terms

Now, we combine the like terms by adding or subtracting their coefficients:

  • For the \(x\) terms: \(-x - 7x = -1x - 7x = -8x\)
  • For the \(y\) terms: \(6y + 8y = 14y\)

Final Answer

The simplified expression after combining like terms is:

\[ \boxed{-8x + 14y} \]

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