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Simplifying 5 + 2xa = 7 + -4a Solving 5 + 2ax = 7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 5 + 4a + 2ax = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 5 + 4a + 2ax = 7 + 0 5 + 4a + 2ax = 7 Add '-5' to each side of the equation. 5 + 4a + -5 + 2ax = 7 + -5 Reorder the terms: 5 + -5 + 4a + 2ax = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 4a + 2ax = 7 + -5 4a + 2ax = 7 + -5 Combine like terms: 7 + -5 = 2 4a + 2ax = 2 Reorder the terms: -2 + 4a + 2ax = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 4a + 2ax = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 2a + ax) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 2a + ax)' equal to zero and attempt to solve: Simplifying -1 + 2a + ax = 0 Solving -1 + 2a + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2a + 1 + ax = 0 + 1 Reorder the terms: -1 + 1 + 2a + ax = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2a + ax = 0 + 1 2a + ax = 0 + 1 Combine like terms: 0 + 1 = 1 2a + ax = 1 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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