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Simplifying 2ax + 7 = 6a + 21 Reorder the terms: 7 + 2ax = 6a + 21 Reorder the terms: 7 + 2ax = 21 + 6a Solving 7 + 2ax = 21 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 7 + -6a + 2ax = 21 + 6a + -6a Combine like terms: 6a + -6a = 0 7 + -6a + 2ax = 21 + 0 7 + -6a + 2ax = 21 Add '-7' to each side of the equation. 7 + -6a + -7 + 2ax = 21 + -7 Reorder the terms: 7 + -7 + -6a + 2ax = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -6a + 2ax = 21 + -7 -6a + 2ax = 21 + -7 Combine like terms: 21 + -7 = 14 -6a + 2ax = 14 Reorder the terms: -14 + -6a + 2ax = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -6a + 2ax = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -3a + ax) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -3a + ax)' equal to zero and attempt to solve: Simplifying -7 + -3a + ax = 0 Solving -7 + -3a + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -3a + 7 + ax = 0 + 7 Reorder the terms: -7 + 7 + -3a + ax = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3a + ax = 0 + 7 -3a + ax = 0 + 7 Combine like terms: 0 + 7 = 7 -3a + ax = 7 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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