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Simplifying 8x + -8 + 3ax = 5ax + -2a Reorder the terms: -8 + 3ax + 8x = 5ax + -2a Reorder the terms: -8 + 3ax + 8x = -2a + 5ax Solving -8 + 3ax + 8x = -2a + 5ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -8 + 3ax + 2a + 8x = -2a + 2a + 5ax Reorder the terms: -8 + 2a + 3ax + 8x = -2a + 2a + 5ax Combine like terms: -2a + 2a = 0 -8 + 2a + 3ax + 8x = 0 + 5ax -8 + 2a + 3ax + 8x = 5ax Add '-5ax' to each side of the equation. -8 + 2a + 3ax + -5ax + 8x = 5ax + -5ax Combine like terms: 3ax + -5ax = -2ax -8 + 2a + -2ax + 8x = 5ax + -5ax Combine like terms: 5ax + -5ax = 0 -8 + 2a + -2ax + 8x = 0 Add '8' to each side of the equation. -8 + 2a + -2ax + 8 + 8x = 0 + 8 Reorder the terms: -8 + 8 + 2a + -2ax + 8x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2a + -2ax + 8x = 0 + 8 2a + -2ax + 8x = 0 + 8 Combine like terms: 0 + 8 = 8 2a + -2ax + 8x = 8 Add '-8x' to each side of the equation. 2a + -2ax + 8x + -8x = 8 + -8x Combine like terms: 8x + -8x = 0 2a + -2ax + 0 = 8 + -8x 2a + -2ax = 8 + -8x Reorder the terms: -8 + 2a + -2ax + 8x = 8 + -8x + -8 + 8x Reorder the terms: -8 + 2a + -2ax + 8x = 8 + -8 + -8x + 8x Combine like terms: 8 + -8 = 0 -8 + 2a + -2ax + 8x = 0 + -8x + 8x -8 + 2a + -2ax + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 2a + -2ax + 8x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + a + -1ax + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + a + -1ax + 4x)' equal to zero and attempt to solve: Simplifying -4 + a + -1ax + 4x = 0 Solving -4 + a + -1ax + 4x = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + a + -1ax + 4 + 4x = 0 + 4 Reorder the terms: -4 + 4 + a + -1ax + 4x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a + -1ax + 4x = 0 + 4 a + -1ax + 4x = 0 + 4 Combine like terms: 0 + 4 = 4 a + -1ax + 4x = 4 Add '-4x' to each side of the equation. a + -1ax + 4x + -4x = 4 + -4x Combine like terms: 4x + -4x = 0 a + -1ax + 0 = 4 + -4x a + -1ax = 4 + -4x 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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