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Simplifying (X + -3)(3x + 6) = (9)(3x + 11) Reorder the terms: (-3 + X)(3x + 6) = (9)(3x + 11) Reorder the terms: (-3 + X)(6 + 3x) = (9)(3x + 11) Multiply (-3 + X) * (6 + 3x) (-3(6 + 3x) + X(6 + 3x)) = (9)(3x + 11) ((6 * -3 + 3x * -3) + X(6 + 3x)) = (9)(3x + 11) ((-18 + -9x) + X(6 + 3x)) = (9)(3x + 11) (-18 + -9x + (6 * X + 3x * X)) = (9)(3x + 11) (-18 + -9x + (6X + 3xX)) = (9)(3x + 11) Reorder the terms: (-18 + 6X + -9x + 3xX) = (9)(3x + 11) (-18 + 6X + -9x + 3xX) = (9)(3x + 11) Reorder the terms: -18 + 6X + -9x + 3xX = 9(11 + 3x) -18 + 6X + -9x + 3xX = (11 * 9 + 3x * 9) -18 + 6X + -9x + 3xX = (99 + 27x) Solving -18 + 6X + -9x + 3xX = 99 + 27x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 6X + -9x + 18 + 3xX = 99 + 18 + 27x Reorder the terms: -18 + 18 + 6X + -9x + 3xX = 99 + 18 + 27x Combine like terms: -18 + 18 = 0 0 + 6X + -9x + 3xX = 99 + 18 + 27x 6X + -9x + 3xX = 99 + 18 + 27x Combine like terms: 99 + 18 = 117 6X + -9x + 3xX = 117 + 27x Add '9x' to each side of the equation. 6X + -9x + 9x + 3xX = 117 + 27x + 9x Combine like terms: -9x + 9x = 0 6X + 0 + 3xX = 117 + 27x + 9x 6X + 3xX = 117 + 27x + 9x Combine like terms: 27x + 9x = 36x 6X + 3xX = 117 + 36x Reorder the terms: -117 + 6X + -36x + 3xX = 117 + 36x + -117 + -36x Reorder the terms: -117 + 6X + -36x + 3xX = 117 + -117 + 36x + -36x Combine like terms: 117 + -117 = 0 -117 + 6X + -36x + 3xX = 0 + 36x + -36x -117 + 6X + -36x + 3xX = 36x + -36x Combine like terms: 36x + -36x = 0 -117 + 6X + -36x + 3xX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-39 + 2X + -12x + xX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-39 + 2X + -12x + xX)' equal to zero and attempt to solve: Simplifying -39 + 2X + -12x + xX = 0 Solving -39 + 2X + -12x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 2X + -12x + 39 + xX = 0 + 39 Reorder the terms: -39 + 39 + 2X + -12x + xX = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 2X + -12x + xX = 0 + 39 2X + -12x + xX = 0 + 39 Combine like terms: 0 + 39 = 39 2X + -12x + xX = 39 Add '12x' to each side of the equation. 2X + -12x + 12x + xX = 39 + 12x Combine like terms: -12x + 12x = 0 2X + 0 + xX = 39 + 12x 2X + xX = 39 + 12x 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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