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Simplifying 2e(3x + 6) = 6 Reorder the terms: 2e(6 + 3x) = 6 (6 * 2e + 3x * 2e) = 6 (12e + 6ex) = 6 Solving 12e + 6ex = 6 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Reorder the terms: -6 + 12e + 6ex = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 12e + 6ex = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + 2e + ex) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + 2e + ex)' equal to zero and attempt to solve: Simplifying -1 + 2e + ex = 0 Solving -1 + 2e + ex = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2e + 1 + ex = 0 + 1 Reorder the terms: -1 + 1 + 2e + ex = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2e + ex = 0 + 1 2e + ex = 0 + 1 Combine like terms: 0 + 1 = 1 2e + ex = 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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