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Simplifying 3(a + 2) = 3xa + 3x Reorder the terms: 3(2 + a) = 3xa + 3x (2 * 3 + a * 3) = 3xa + 3x (6 + 3a) = 3xa + 3x Solving 6 + 3a = 3ax + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3ax' to each side of the equation. 6 + 3a + -3ax = 3ax + -3ax + 3x Combine like terms: 3ax + -3ax = 0 6 + 3a + -3ax = 0 + 3x 6 + 3a + -3ax = 3x Add '-6' to each side of the equation. 6 + 3a + -6 + -3ax = -6 + 3x Reorder the terms: 6 + -6 + 3a + -3ax = -6 + 3x Combine like terms: 6 + -6 = 0 0 + 3a + -3ax = -6 + 3x 3a + -3ax = -6 + 3x Reorder the terms: 6 + 3a + -3ax + -3x = -6 + 3x + 6 + -3x Reorder the terms: 6 + 3a + -3ax + -3x = -6 + 6 + 3x + -3x Combine like terms: -6 + 6 = 0 6 + 3a + -3ax + -3x = 0 + 3x + -3x 6 + 3a + -3ax + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3a + -3ax + -3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + a + -1ax + -1x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + a + -1ax + -1x)' equal to zero and attempt to solve: Simplifying 2 + a + -1ax + -1x = 0 Solving 2 + a + -1ax + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + a + -1ax + -2 + -1x = 0 + -2 Reorder the terms: 2 + -2 + a + -1ax + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a + -1ax + -1x = 0 + -2 a + -1ax + -1x = 0 + -2 Combine like terms: 0 + -2 = -2 a + -1ax + -1x = -2 Add 'x' to each side of the equation. a + -1ax + -1x + x = -2 + x Combine like terms: -1x + x = 0 a + -1ax + 0 = -2 + x a + -1ax = -2 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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