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Simplifying 2x(8y + -5z) = 12 (8y * 2x + -5z * 2x) = 12 (16xy + -10xz) = 12 Solving 16xy + -10xz = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -12 + 16xy + -10xz = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 16xy + -10xz = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 8xy + -5xz) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 8xy + -5xz)' equal to zero and attempt to solve: Simplifying -6 + 8xy + -5xz = 0 Solving -6 + 8xy + -5xz = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 8xy + 6 + -5xz = 0 + 6 Reorder the terms: -6 + 6 + 8xy + -5xz = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 8xy + -5xz = 0 + 6 8xy + -5xz = 0 + 6 Combine like terms: 0 + 6 = 6 8xy + -5xz = 6 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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