Question

6 + 6x + x + 7 = -3(x - 3) + 3(x + 6)

Explanation:

Step1: Simplify left side

Combine like terms:
$6 + 7 + 6x + x = 13 + 7x$

Step2: Expand right side

Distribute the constants:
$-3(x-3) + 3(x+6) = -3x + 9 + 3x + 18$

Step3: Simplify right side

Combine like terms:
$-3x + 3x + 9 + 18 = 27$

Step4: Solve for $x$

Set sides equal, isolate $x$:
$13 + 7x = 27$
$7x = 27 - 13$
$7x = 14$
$x = \frac{14}{7}$

Answer:

$x = 2$