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Simplifying abs(8x + 2) = 42 Reorder the terms: abs(2 + 8x) = 42 (2 * abs + 8x * abs) = 42 (2abs + 8absx) = 42 Solving 2abs + 8absx = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -42 + 2abs + 8absx = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + 2abs + 8absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + abs + 4absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + abs + 4absx)' equal to zero and attempt to solve: Simplifying -21 + abs + 4absx = 0 Solving -21 + abs + 4absx = 0 Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + abs + 21 + 4absx = 0 + 21 Reorder the terms: -21 + 21 + abs + 4absx = 0 + 21 Combine like terms: -21 + 21 = 0 0 + abs + 4absx = 0 + 21 abs + 4absx = 0 + 21 Combine like terms: 0 + 21 = 21 abs + 4absx = 21 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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