What is the value of x in the equation 35x + 7 = 0?

To find the value of x in the equation 35x + 7 = 0, we need to isolate x. Here’s a step-by-step breakdown:

1. Start with the original equation: 35x + 7 = 0.
2. Subtract 7 from both sides to begin isolating x:
   35x + 7 – 7 = 0 – 7
   Which simplifies to: 35x = -7.
3. Next, divide both sides of the equation by 35 to solve for x:
   x = -7 / 35.
4. Now, simplify the fraction:
   x = -1 / 5.

Therefore, the value of x in the equation 35x + 7 = 0 is -1/5.