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Simplifying Abs(5x + -7) = abs(5x + -8) Reorder the terms: bsA(-7 + 5x) = abs(5x + -8) (-7 * bsA + 5x * bsA) = abs(5x + -8) (-7bsA + 5bsxA) = abs(5x + -8) Reorder the terms: -7bsA + 5bsxA = abs(-8 + 5x) -7bsA + 5bsxA = (-8 * abs + 5x * abs) -7bsA + 5bsxA = (-8abs + 5absx) Solving -7bsA + 5bsxA = -8abs + 5absx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8abs' to each side of the equation. -7bsA + 8abs + 5bsxA = -8abs + 8abs + 5absx Reorder the terms: 8abs + -7bsA + 5bsxA = -8abs + 8abs + 5absx Combine like terms: -8abs + 8abs = 0 8abs + -7bsA + 5bsxA = 0 + 5absx 8abs + -7bsA + 5bsxA = 5absx Add '-5absx' to each side of the equation. 8abs + -7bsA + -5absx + 5bsxA = 5absx + -5absx Reorder the terms: 8abs + -5absx + -7bsA + 5bsxA = 5absx + -5absx Combine like terms: 5absx + -5absx = 0 8abs + -5absx + -7bsA + 5bsxA = 0 Factor out the Greatest Common Factor (GCF), 'bs'. bs(8a + -5ax + -7A + 5xA) = 0Subproblem 1
Set the factor 'bs' equal to zero and attempt to solve: Simplifying bs = 0 Solving bs = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8a + -5ax + -7A + 5xA)' equal to zero and attempt to solve: Simplifying 8a + -5ax + -7A + 5xA = 0 Reorder the terms: -7A + 8a + -5ax + 5xA = 0 Solving -7A + 8a + -5ax + 5xA = 0 Move all terms containing b to the left, all other terms to the right. Add '7A' to each side of the equation. -7A + 8a + -5ax + 7A + 5xA = 0 + 7A Reorder the terms: -7A + 7A + 8a + -5ax + 5xA = 0 + 7A Combine like terms: -7A + 7A = 0 0 + 8a + -5ax + 5xA = 0 + 7A 8a + -5ax + 5xA = 0 + 7A Remove the zero: 8a + -5ax + 5xA = 7A Add '-8a' to each side of the equation. 8a + -5ax + -8a + 5xA = 7A + -8a Reorder the terms: 8a + -8a + -5ax + 5xA = 7A + -8a Combine like terms: 8a + -8a = 0 0 + -5ax + 5xA = 7A + -8a -5ax + 5xA = 7A + -8a Add '5ax' to each side of the equation. -5ax + 5ax + 5xA = 7A + -8a + 5ax Combine like terms: -5ax + 5ax = 0 0 + 5xA = 7A + -8a + 5ax 5xA = 7A + -8a + 5ax Add '-5xA' to each side of the equation. 5xA + -5xA = 7A + -8a + 5ax + -5xA Combine like terms: 5xA + -5xA = 0 0 = 7A + -8a + 5ax + -5xA Simplifying 0 = 7A + -8a + 5ax + -5xA 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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