To solve the equation 7x = 2x - 35, we need to isolate the variable x. Let's go through the steps:
1. Subtract 2x from both sides of the equation: 7x - 2x = -35.
2. Simplify the left side of the equation: 5x = -35.
3. Divide both sides of the equation by 5: x = -7.
Therefore, the value of x that satisfies the equation 7x = 2x - 35 is x = -7.