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