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Solve.

5x + 6 = 2x - 21

(1 point)
Responses

-3
-3

-9
-9

-5
-5

-27
-27

1 answer

To solve the equation \(5x + 6 = 2x - 21\), follow these steps:

  1. Isolate the variable \(x\): Start by getting all the \(x\) terms on one side of the equation and the constant terms on the other side.

    \[ 5x - 2x = -21 - 6 \]

  2. Combine like terms:

    \[ 3x = -27 \]

  3. Divide both sides by 3:

    \[ x = -9 \]

So, the solution is \(x = -9\).

The correct response is -9.