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Simplifying 6x + 15 = -3(ax + b) Reorder the terms: 15 + 6x = -3(ax + b) 15 + 6x = (ax * -3 + b * -3) 15 + 6x = (-3ax + -3b) Solving 15 + 6x = -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. 15 + 3ax + 6x = -3ax + 3ax + -3b Combine like terms: -3ax + 3ax = 0 15 + 3ax + 6x = 0 + -3b 15 + 3ax + 6x = -3b Add '-15' to each side of the equation. 15 + 3ax + -15 + 6x = -15 + -3b Reorder the terms: 15 + -15 + 3ax + 6x = -15 + -3b Combine like terms: 15 + -15 = 0 0 + 3ax + 6x = -15 + -3b 3ax + 6x = -15 + -3b Reorder the terms: 15 + 3ax + 3b + 6x = -15 + -3b + 15 + 3b Reorder the terms: 15 + 3ax + 3b + 6x = -15 + 15 + -3b + 3b Combine like terms: -15 + 15 = 0 15 + 3ax + 3b + 6x = 0 + -3b + 3b 15 + 3ax + 3b + 6x = -3b + 3b Combine like terms: -3b + 3b = 0 15 + 3ax + 3b + 6x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + ax + b + 2x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + ax + b + 2x)' equal to zero and attempt to solve: Simplifying 5 + ax + b + 2x = 0 Solving 5 + ax + b + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + ax + b + -5 + 2x = 0 + -5 Reorder the terms: 5 + -5 + ax + b + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + ax + b + 2x = 0 + -5 ax + b + 2x = 0 + -5 Combine like terms: 0 + -5 = -5 ax + b + 2x = -5 Add '-1b' to each side of the equation. ax + b + -1b + 2x = -5 + -1b Combine like terms: b + -1b = 0 ax + 0 + 2x = -5 + -1b ax + 2x = -5 + -1b 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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