Question
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Tutor-Verified Answer
Answer
\( x = -20 \)
Solution
Start by combining like terms on the left side of the equation:
6.4x - 2.1x = (6.4 - 2.1)x = 4.3x.
The equation now becomes:
4.3x = -86.
Next, solve for x by dividing both sides by 4.3:
x = -86 / 4.3.
Dividing, we find:
x = -20.
Thus, the solution is x = -20.
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Bonus Knowledge
Let's simplify the left side of the equation first. \( 6.4x - 2.1x = (6.4 - 2.1)x = 4.3x \). So, the equation becomes: \( 4.3x = -86 \). Now, to solve for \( x \), divide both sides by 4.3: \( x = \frac{-86}{4.3} \). Calculating that gives: \( x = -20 \). So, the solution is \( x = -20 \).