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Simplifying 3x = xa Solving 3x = ax Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ax' to each side of the equation. -1ax + 3x = ax + -1ax Combine like terms: ax + -1ax = 0 -1ax + 3x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1a + 3) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1a + 3)' equal to zero and attempt to solve: Simplifying -1a + 3 = 0 Reorder the terms: 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Add 'a' to each side of the equation. -1a + a = -3 + a Combine like terms: -1a + a = 0 0 = -3 + a Simplifying 0 = -3 + a The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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