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Simplifying 2 + 6(2x + -1) = 4(ax + b) Reorder the terms: 2 + 6(-1 + 2x) = 4(ax + b) 2 + (-1 * 6 + 2x * 6) = 4(ax + b) 2 + (-6 + 12x) = 4(ax + b) Combine like terms: 2 + -6 = -4 -4 + 12x = 4(ax + b) -4 + 12x = (ax * 4 + b * 4) -4 + 12x = (4ax + 4b) Solving -4 + 12x = 4ax + 4b Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4ax' to each side of the equation. -4 + -4ax + 12x = 4ax + -4ax + 4b Combine like terms: 4ax + -4ax = 0 -4 + -4ax + 12x = 0 + 4b -4 + -4ax + 12x = 4b Add '4' to each side of the equation. -4 + -4ax + 4 + 12x = 4 + 4b Reorder the terms: -4 + 4 + -4ax + 12x = 4 + 4b Combine like terms: -4 + 4 = 0 0 + -4ax + 12x = 4 + 4b -4ax + 12x = 4 + 4b Reorder the terms: -4 + -4ax + -4b + 12x = 4 + 4b + -4 + -4b Reorder the terms: -4 + -4ax + -4b + 12x = 4 + -4 + 4b + -4b Combine like terms: 4 + -4 = 0 -4 + -4ax + -4b + 12x = 0 + 4b + -4b -4 + -4ax + -4b + 12x = 4b + -4b Combine like terms: 4b + -4b = 0 -4 + -4ax + -4b + 12x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -1ax + -1b + 3x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -1ax + -1b + 3x)' equal to zero and attempt to solve: Simplifying -1 + -1ax + -1b + 3x = 0 Solving -1 + -1ax + -1b + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1ax + -1b + 1 + 3x = 0 + 1 Reorder the terms: -1 + 1 + -1ax + -1b + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1ax + -1b + 3x = 0 + 1 -1ax + -1b + 3x = 0 + 1 Combine like terms: 0 + 1 = 1 -1ax + -1b + 3x = 1 Add 'b' to each side of the equation. -1ax + -1b + b + 3x = 1 + b Combine like terms: -1b + b = 0 -1ax + 0 + 3x = 1 + b -1ax + 3x = 1 + 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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