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Simplifying 2x + -1bx + -3 = b(2x + -3) + -13x + 12 Reorder the terms: -3 + -1bx + 2x = b(2x + -3) + -13x + 12 Reorder the terms: -3 + -1bx + 2x = b(-3 + 2x) + -13x + 12 -3 + -1bx + 2x = (-3 * b + 2x * b) + -13x + 12 -3 + -1bx + 2x = (-3b + 2bx) + -13x + 12 Reorder the terms: -3 + -1bx + 2x = 12 + -3b + 2bx + -13x Solving -3 + -1bx + 2x = 12 + -3b + 2bx + -13x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -3 + -1bx + 3b + 2x = 12 + -3b + 2bx + 3b + -13x Reorder the terms: -3 + 3b + -1bx + 2x = 12 + -3b + 2bx + 3b + -13x Reorder the terms: -3 + 3b + -1bx + 2x = 12 + -3b + 3b + 2bx + -13x Combine like terms: -3b + 3b = 0 -3 + 3b + -1bx + 2x = 12 + 0 + 2bx + -13x -3 + 3b + -1bx + 2x = 12 + 2bx + -13x Add '-2bx' to each side of the equation. -3 + 3b + -1bx + -2bx + 2x = 12 + 2bx + -2bx + -13x Combine like terms: -1bx + -2bx = -3bx -3 + 3b + -3bx + 2x = 12 + 2bx + -2bx + -13x Combine like terms: 2bx + -2bx = 0 -3 + 3b + -3bx + 2x = 12 + 0 + -13x -3 + 3b + -3bx + 2x = 12 + -13x Add '3' to each side of the equation. -3 + 3b + -3bx + 3 + 2x = 12 + 3 + -13x Reorder the terms: -3 + 3 + 3b + -3bx + 2x = 12 + 3 + -13x Combine like terms: -3 + 3 = 0 0 + 3b + -3bx + 2x = 12 + 3 + -13x 3b + -3bx + 2x = 12 + 3 + -13x Combine like terms: 12 + 3 = 15 3b + -3bx + 2x = 15 + -13x Add '-2x' to each side of the equation. 3b + -3bx + 2x + -2x = 15 + -13x + -2x Combine like terms: 2x + -2x = 0 3b + -3bx + 0 = 15 + -13x + -2x 3b + -3bx = 15 + -13x + -2x Combine like terms: -13x + -2x = -15x 3b + -3bx = 15 + -15x Reorder the terms: -15 + 3b + -3bx + 15x = 15 + -15x + -15 + 15x Reorder the terms: -15 + 3b + -3bx + 15x = 15 + -15 + -15x + 15x Combine like terms: 15 + -15 = 0 -15 + 3b + -3bx + 15x = 0 + -15x + 15x -15 + 3b + -3bx + 15x = -15x + 15x Combine like terms: -15x + 15x = 0 -15 + 3b + -3bx + 15x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + b + -1bx + 5x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + b + -1bx + 5x)' equal to zero and attempt to solve: Simplifying -5 + b + -1bx + 5x = 0 Solving -5 + b + -1bx + 5x = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + b + -1bx + 5 + 5x = 0 + 5 Reorder the terms: -5 + 5 + b + -1bx + 5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + b + -1bx + 5x = 0 + 5 b + -1bx + 5x = 0 + 5 Combine like terms: 0 + 5 = 5 b + -1bx + 5x = 5 Add '-5x' to each side of the equation. b + -1bx + 5x + -5x = 5 + -5x Combine like terms: 5x + -5x = 0 b + -1bx + 0 = 5 + -5x b + -1bx = 5 + -5x 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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