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)=−426(7x + 7) = -42, we first distribute the 6 on the left side of the equation. Then, we simplify the equation and solve for xx by isolating it on one side.

Step 1: Distribute the 6

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

Step 2: Isolate the variable

Next, we isolate xx by subtracting 42 from both sides: 42x=−42−42 42x = -42 - 42 This simplifies to: 42x=−84 42x = -84

Step 3: Solve for xx

Now, we divide both sides by 42 to solve for xx: x=−8442 x = \frac{-84}{42} This simplifies to: x=−2 x = -2

Final Answer

x=−2\boxed{x = -2}

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