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Simplifying 3e(x + 7) + 2 = 14 Reorder the terms: 3e(7 + x) + 2 = 14 (7 * 3e + x * 3e) + 2 = 14 (21e + 3ex) + 2 = 14 Reorder the terms: 2 + 21e + 3ex = 14 Solving 2 + 21e + 3ex = 14 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 21e + -2 + 3ex = 14 + -2 Reorder the terms: 2 + -2 + 21e + 3ex = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 21e + 3ex = 14 + -2 21e + 3ex = 14 + -2 Combine like terms: 14 + -2 = 12 21e + 3ex = 12 Reorder the terms: -12 + 21e + 3ex = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 21e + 3ex = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 7e + ex) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + 7e + ex)' equal to zero and attempt to solve: Simplifying -4 + 7e + ex = 0 Solving -4 + 7e + ex = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 7e + 4 + ex = 0 + 4 Reorder the terms: -4 + 4 + 7e + ex = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7e + ex = 0 + 4 7e + ex = 0 + 4 Combine like terms: 0 + 4 = 4 7e + ex = 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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