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Simplifying 3x(X + 8) = 6(X + -6) Reorder the terms: 3x(8 + X) = 6(X + -6) (8 * 3x + X * 3x) = 6(X + -6) (24x + 3xX) = 6(X + -6) Reorder the terms: 24x + 3xX = 6(-6 + X) 24x + 3xX = (-6 * 6 + X * 6) 24x + 3xX = (-36 + 6X) Solving 24x + 3xX = -36 + 6X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: 36 + -6X + 24x + 3xX = -36 + 6X + 36 + -6X Reorder the terms: 36 + -6X + 24x + 3xX = -36 + 36 + 6X + -6X Combine like terms: -36 + 36 = 0 36 + -6X + 24x + 3xX = 0 + 6X + -6X 36 + -6X + 24x + 3xX = 6X + -6X Combine like terms: 6X + -6X = 0 36 + -6X + 24x + 3xX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(12 + -2X + 8x + xX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(12 + -2X + 8x + xX)' equal to zero and attempt to solve: Simplifying 12 + -2X + 8x + xX = 0 Solving 12 + -2X + 8x + xX = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -2X + 8x + -12 + xX = 0 + -12 Reorder the terms: 12 + -12 + -2X + 8x + xX = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2X + 8x + xX = 0 + -12 -2X + 8x + xX = 0 + -12 Combine like terms: 0 + -12 = -12 -2X + 8x + xX = -12 Add '2X' to each side of the equation. -2X + 8x + 2X + xX = -12 + 2X Reorder the terms: -2X + 2X + 8x + xX = -12 + 2X Combine like terms: -2X + 2X = 0 0 + 8x + xX = -12 + 2X 8x + xX = -12 + 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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