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