select the two expressions that are equivalent to the given expression

(2x + 2) - (3x + 11)

1 answer

To simplify the expression \((2x + 2) - (3x + 11)\), follow these steps:

  1. Distribute the negative sign across the second set of parentheses: \[ (2x + 2) - (3x + 11) = 2x + 2 - 3x - 11 \]

  2. Combine like terms: \[ (2x - 3x) + (2 - 11) = -x - 9 \]

So the simplified form of the expression is: \[ -x - 9 \]

Now you can look for two expressions equivalent to \(-x - 9\). Possible equivalent forms could include:

  1. \(-1(x + 9)\) (factoring out \(-1\))
  2. \(-9 - x\) (rearranging terms)

These forms are equivalent to \(-x - 9\). If you have specific expressions to choose from, you can verify equivalence by simplifying or rearranging them to see if they match \(-x - 9\).

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