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