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Simplifying 8 = 2x + 6xz Solving 8 = 2x + 6xz Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -2x = 2x + -2x + 6xz Combine like terms: 2x + -2x = 0 8 + -2x = 0 + 6xz 8 + -2x = 6xz Add '-6xz' to each side of the equation. 8 + -2x + -6xz = 6xz + -6xz Combine like terms: 6xz + -6xz = 0 8 + -2x + -6xz = 0 Add '-8' to each side of the equation. 8 + -2x + -8 + -6xz = 0 + -8 Reorder the terms: 8 + -8 + -2x + -6xz = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x + -6xz = 0 + -8 -2x + -6xz = 0 + -8 Combine like terms: 0 + -8 = -8 -2x + -6xz = -8 Reorder the terms: 8 + -2x + -6xz = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -2x + -6xz = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -1x + -3xz) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1x + -3xz)' equal to zero and attempt to solve: Simplifying 4 + -1x + -3xz = 0 Solving 4 + -1x + -3xz = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1x + -4 + -3xz = 0 + -4 Reorder the terms: 4 + -4 + -1x + -3xz = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x + -3xz = 0 + -4 -1x + -3xz = 0 + -4 Combine like terms: 0 + -4 = -4 -1x + -3xz = -4 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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