Solve for all values of x in simplest form. 9=|-3+3x| Answer: x=

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Solve for all values of  x in simplest form.  9=|-3+3x| Answer:  x=

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Understand absolute value equation: Understand the absolute value equation. The equation 9 = |-3 + 3x| involves an absolute value, which means the expression inside the absolute value, -3 + 3x, can be either positive or negative, but the result after applying the absolute value will be non-negative. We need to consider both cases where -3 + 3x is positive and where it is negative.Set up two equations: Set up two separate equations to solve for x. Since the absolute value of a number is always non-negative, we can have two cases: Case 1: -3 + 3x is positive or zero, so we can drop the absolute value bars. Case 2: -3 + 3x is negative, so we take the opposite of the expression inside the absolute value. This gives us two equations to solve: 1. -3 + 3x = 9 2. -3 + 3x = -9Solve first equation: Solve the first equation -3 + 3x = 9. Add 3 to both sides of the equation to isolate the term with x on one side: -3 + 3 + 3x = 9 + 3 3x = 12 Now, divide both sides by 3 to solve for x: 3x / 3 = 12 / 3 x = 4Solve second equation: Solve the second equation -3 + 3x = -9. Add 3 to both sides of the equation to isolate the term with x on one side: -3 + 3 + 3x = -9 + 3 3x = -6 Now, divide both sides by 3 to solve for x: 3x / 3 = -6 / 3 x = -2Combine solutions: Combine the solutions from both cases. We have found two solutions for x from the two cases: From Case 1: x = 4 From Case 2: x = -2 These are the two values of x that satisfy the original equation.

Solve for all values of $x$ in simplest form. $\newline$ $9=|-3+3 x|$ $\newline$ Answer: $x=$

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Solve for all values of $x$ in simplest form. $\newline$ $9=|-3+3 x|$ $\newline$ Answer: $x=$