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Simplifying -2z + -1xy = x + 7x Reorder the terms: -1xy + -2z = x + 7x Combine like terms: x + 7x = 8x -1xy + -2z = 8x Solving -1xy + -2z = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1xy + -8x + -2z = 8x + -8x Reorder the terms: -8x + -1xy + -2z = 8x + -8x Combine like terms: 8x + -8x = 0 -8x + -1xy + -2z = 0 Add '2z' to each side of the equation. -8x + -1xy + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 -8x + -1xy + 0 = 0 + 2z -8x + -1xy = 0 + 2z Remove the zero: -8x + -1xy = 2z Combine like terms: 2z + -2z = 0 -8x + -1xy + -2z = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(8x + xy + 2z) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8x + xy + 2z)' equal to zero and attempt to solve: Simplifying 8x + xy + 2z = 0 Solving 8x + xy + 2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-2z' to each side of the equation. 8x + xy + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 8x + xy + 0 = 0 + -2z 8x + xy = 0 + -2z Remove the zero: 8x + xy = -2z 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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