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Simplifying X[x + -3(6 + -3x) + 2x] = 6(2x + -1) X[x + (6 * -3 + -3x * -3) + 2x] = 6(2x + -1) X[x + (-18 + 9x) + 2x] = 6(2x + -1) Reorder the terms: X[-18 + x + 9x + 2x] = 6(2x + -1) Combine like terms: x + 9x = 10x X[-18 + 10x + 2x] = 6(2x + -1) Combine like terms: 10x + 2x = 12x X[-18 + 12x] = 6(2x + -1) [-18 * X + 12x * X] = 6(2x + -1) [-18X + 12xX] = 6(2x + -1) Reorder the terms: -18X + 12xX = 6(-1 + 2x) -18X + 12xX = (-1 * 6 + 2x * 6) -18X + 12xX = (-6 + 12x) Solving -18X + 12xX = -6 + 12x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 6 + -18X + -12x + 12xX = -6 + 12x + 6 + -12x Reorder the terms: 6 + -18X + -12x + 12xX = -6 + 6 + 12x + -12x Combine like terms: -6 + 6 = 0 6 + -18X + -12x + 12xX = 0 + 12x + -12x 6 + -18X + -12x + 12xX = 12x + -12x Combine like terms: 12x + -12x = 0 6 + -18X + -12x + 12xX = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(1 + -3X + -2x + 2xX) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(1 + -3X + -2x + 2xX)' equal to zero and attempt to solve: Simplifying 1 + -3X + -2x + 2xX = 0 Solving 1 + -3X + -2x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3X + -2x + -1 + 2xX = 0 + -1 Reorder the terms: 1 + -1 + -3X + -2x + 2xX = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3X + -2x + 2xX = 0 + -1 -3X + -2x + 2xX = 0 + -1 Combine like terms: 0 + -1 = -1 -3X + -2x + 2xX = -1 Add '2x' to each side of the equation. -3X + -2x + 2x + 2xX = -1 + 2x Combine like terms: -2x + 2x = 0 -3X + 0 + 2xX = -1 + 2x -3X + 2xX = -1 + 2x 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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