Solve for x𝑥 :15x+14=−1(34x−1)15𝑥+14=-1(34𝑥-1) You can enter your answer as an improper fraction (like 13/4), but not as a mixed number.

Question

Solve for $x$ :

$15x + 14 = -1(34x - 1)$

You can enter your answer as an improper fraction (like $\frac{13}{4}$ ), but not as a mixed number.

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Solution

First, distribute the -1 on the right side of the equation:

15x + 14 = -1 * 34x + 1

This simplifies to:

15x + 14 = -34x + 1

Next, add 34x to both sides of the equation to get all the x terms on one side:

15x + 34x + 14 = 1

This simplifies to:

49x + 14 = 1

Then, subtract 14 from both sides to isolate the x term:

49x = 1 - 14

This simplifies to:

49x = -13

Finally, divide both sides by 49 to solve for x:

x = -13/49

This problem has been solved

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