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Simplifying (X + 3)(2x + -6) = 26 Reorder the terms: (3 + X)(2x + -6) = 26 Reorder the terms: (3 + X)(-6 + 2x) = 26 Multiply (3 + X) * (-6 + 2x) (3(-6 + 2x) + X(-6 + 2x)) = 26 ((-6 * 3 + 2x * 3) + X(-6 + 2x)) = 26 ((-18 + 6x) + X(-6 + 2x)) = 26 (-18 + 6x + (-6 * X + 2x * X)) = 26 (-18 + 6x + (-6X + 2xX)) = 26 Reorder the terms: (-18 + -6X + 6x + 2xX) = 26 (-18 + -6X + 6x + 2xX) = 26 Solving -18 + -6X + 6x + 2xX = 26 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 + 6x + 18 + 2xX = 26 + 18 Reorder the terms: -18 + 18 + -6X + 6x + 2xX = 26 + 18 Combine like terms: -18 + 18 = 0 0 + -6X + 6x + 2xX = 26 + 18 -6X + 6x + 2xX = 26 + 18 Combine like terms: 26 + 18 = 44 -6X + 6x + 2xX = 44 Add '-6x' to each side of the equation. -6X + 6x + -6x + 2xX = 44 + -6x Combine like terms: 6x + -6x = 0 -6X + 0 + 2xX = 44 + -6x -6X + 2xX = 44 + -6x Reorder the terms: -44 + -6X + 6x + 2xX = 44 + -6x + -44 + 6x Reorder the terms: -44 + -6X + 6x + 2xX = 44 + -44 + -6x + 6x Combine like terms: 44 + -44 = 0 -44 + -6X + 6x + 2xX = 0 + -6x + 6x -44 + -6X + 6x + 2xX = -6x + 6x Combine like terms: -6x + 6x = 0 -44 + -6X + 6x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-22 + -3X + 3x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-22 + -3X + 3x + xX)' equal to zero and attempt to solve: Simplifying -22 + -3X + 3x + xX = 0 Solving -22 + -3X + 3x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '22' to each side of the equation. -22 + -3X + 3x + 22 + xX = 0 + 22 Reorder the terms: -22 + 22 + -3X + 3x + xX = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -3X + 3x + xX = 0 + 22 -3X + 3x + xX = 0 + 22 Combine like terms: 0 + 22 = 22 -3X + 3x + xX = 22 Add '-3x' to each side of the equation. -3X + 3x + -3x + xX = 22 + -3x Combine like terms: 3x + -3x = 0 -3X + 0 + xX = 22 + -3x -3X + xX = 22 + -3x 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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