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solve the equation and check your solution. 3 - 3x = 6 x = \\boxed{}

Question

solve the equation and check your solution. 3 - 3x = 6 x = \boxed{}

Explanation:

Step1: Subtract 3 from both sides

$3 - 3x - 3 = 6 - 3$
$-3x = 3$

Step2: Divide by -3 on both sides

$\frac{-3x}{-3} = \frac{3}{-3}$
$x = -1$

Step3: Verify the solution

Substitute $x=-1$ into original equation:
$3 - 3(-1) = 3 + 3 = 6$, which matches the right-hand side.

Answer:

$x = -1$