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Simplifying 3e(x + 1) + -5 = 7 Reorder the terms: 3e(1 + x) + -5 = 7 (1 * 3e + x * 3e) + -5 = 7 (3e + 3ex) + -5 = 7 Reorder the terms: -5 + 3e + 3ex = 7 Solving -5 + 3e + 3ex = 7 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3e + 5 + 3ex = 7 + 5 Reorder the terms: -5 + 5 + 3e + 3ex = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3e + 3ex = 7 + 5 3e + 3ex = 7 + 5 Combine like terms: 7 + 5 = 12 3e + 3ex = 12 Reorder the terms: -12 + 3e + 3ex = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 3e + 3ex = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + e + ex) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + e + ex)' equal to zero and attempt to solve: Simplifying -4 + e + ex = 0 Solving -4 + e + 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 + e + 4 + ex = 0 + 4 Reorder the terms: -4 + 4 + e + ex = 0 + 4 Combine like terms: -4 + 4 = 0 0 + e + ex = 0 + 4 e + ex = 0 + 4 Combine like terms: 0 + 4 = 4 e + 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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