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Simplifying abs(6x + 2) + 7 = 5 Reorder the terms: abs(2 + 6x) + 7 = 5 (2 * abs + 6x * abs) + 7 = 5 (2abs + 6absx) + 7 = 5 Reorder the terms: 7 + 2abs + 6absx = 5 Solving 7 + 2abs + 6absx = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2abs + -7 + 6absx = 5 + -7 Reorder the terms: 7 + -7 + 2abs + 6absx = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 2abs + 6absx = 5 + -7 2abs + 6absx = 5 + -7 Combine like terms: 5 + -7 = -2 2abs + 6absx = -2 Reorder the terms: 2 + 2abs + 6absx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 2abs + 6absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + abs + 3absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + abs + 3absx)' equal to zero and attempt to solve: Simplifying 1 + abs + 3absx = 0 Solving 1 + abs + 3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + abs + -1 + 3absx = 0 + -1 Reorder the terms: 1 + -1 + abs + 3absx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + abs + 3absx = 0 + -1 abs + 3absx = 0 + -1 Combine like terms: 0 + -1 = -1 abs + 3absx = -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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