6х + 6 * (х + 50) = 2700

To solve the equation \(6x + 6 \cdot (x + 50) = 2700\), we'll start by simplifying the left side.

1. Distribute the \(6\) in the term \(6 \cdot (x + 50)\): \[ 6x + 6x + 300 = 2700 \]

2. Combine like terms: \[ 12x + 300 = 2700 \]

3. Subtract \(300\) from both sides: \[ 12x = 2700 - 300 \] \[ 12x = 2400 \]

4. Now, divide both sides by \(12\): \[ x = \frac{2400}{12} \] \[ x = 200 \]

Thus, the solution to the equation is \(x = 200\).