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Simplifying -12x(X + -1) = 3(1 + -4x) Reorder the terms: -12x(-1 + X) = 3(1 + -4x) (-1 * -12x + X * -12x) = 3(1 + -4x) (12x + -12xX) = 3(1 + -4x) 12x + -12xX = (1 * 3 + -4x * 3) 12x + -12xX = (3 + -12x) Solving 12x + -12xX = 3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 12x + 12x + -12xX = 3 + -12x + 12x Combine like terms: 12x + 12x = 24x 24x + -12xX = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 24x + -12xX = 3 + 0 24x + -12xX = 3 Reorder the terms: -3 + 24x + -12xX = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 24x + -12xX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 8x + -4xX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 8x + -4xX)' equal to zero and attempt to solve: Simplifying -1 + 8x + -4xX = 0 Solving -1 + 8x + -4xX = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 8x + 1 + -4xX = 0 + 1 Reorder the terms: -1 + 1 + 8x + -4xX = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x + -4xX = 0 + 1 8x + -4xX = 0 + 1 Combine like terms: 0 + 1 = 1 8x + -4xX = 1 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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