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