Questions: Solve the following. 6(7x+7)=-42

Solve the following. 6(7x+7)=-42
Transcript text: Solve the following. \[ 6(7 x+7)=-42 \]
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Solution

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Solution Steps

To solve the equation \(6(7x + 7) = -42\), we first distribute the 6 on the left side of the equation. Then, we simplify the equation and solve for \(x\) by isolating it on one side.

Step 1: Distribute the 6

We start with the equation: \[ 6(7x + 7) = -42 \] Distributing the 6 gives us: \[ 42x + 42 = -42 \]

Step 2: Isolate the variable

Next, we isolate \(x\) by subtracting 42 from both sides: \[ 42x = -42 - 42 \] This simplifies to: \[ 42x = -84 \]

Step 3: Solve for \(x\)

Now, we divide both sides by 42 to solve for \(x\): \[ x = \frac{-84}{42} \] This simplifies to: \[ x = -2 \]

Final Answer

\(\boxed{x = -2}\)

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