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Simplifying -3abs(4x + -7) + 15 = 0 Reorder the terms: -3abs(-7 + 4x) + 15 = 0 (-7 * -3abs + 4x * -3abs) + 15 = 0 (21abs + -12absx) + 15 = 0 Reorder the terms: 15 + 21abs + -12absx = 0 Solving 15 + 21abs + -12absx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 21abs + -15 + -12absx = 0 + -15 Reorder the terms: 15 + -15 + 21abs + -12absx = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 21abs + -12absx = 0 + -15 21abs + -12absx = 0 + -15 Combine like terms: 0 + -15 = -15 21abs + -12absx = -15 Reorder the terms: 15 + 21abs + -12absx = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 21abs + -12absx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + 7abs + -4absx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + 7abs + -4absx)' equal to zero and attempt to solve: Simplifying 5 + 7abs + -4absx = 0 Solving 5 + 7abs + -4absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 7abs + -5 + -4absx = 0 + -5 Reorder the terms: 5 + -5 + 7abs + -4absx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7abs + -4absx = 0 + -5 7abs + -4absx = 0 + -5 Combine like terms: 0 + -5 = -5 7abs + -4absx = -5 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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