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Simplifying e2 + 4x + 9 = 6e2x + 1 Reorder the terms: 9 + e2 + 4x = 6e2x + 1 Reorder the terms: 9 + e2 + 4x = 1 + 6e2x Solving 9 + e2 + 4x = 1 + 6e2x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e2x' to each side of the equation. 9 + e2 + -6e2x + 4x = 1 + 6e2x + -6e2x Combine like terms: 6e2x + -6e2x = 0 9 + e2 + -6e2x + 4x = 1 + 0 9 + e2 + -6e2x + 4x = 1 Add '-9' to each side of the equation. 9 + e2 + -6e2x + -9 + 4x = 1 + -9 Reorder the terms: 9 + -9 + e2 + -6e2x + 4x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + e2 + -6e2x + 4x = 1 + -9 e2 + -6e2x + 4x = 1 + -9 Combine like terms: 1 + -9 = -8 e2 + -6e2x + 4x = -8 Add '-4x' to each side of the equation. e2 + -6e2x + 4x + -4x = -8 + -4x Combine like terms: 4x + -4x = 0 e2 + -6e2x + 0 = -8 + -4x e2 + -6e2x = -8 + -4x Reorder the terms: 8 + e2 + -6e2x + 4x = -8 + -4x + 8 + 4x Reorder the terms: 8 + e2 + -6e2x + 4x = -8 + 8 + -4x + 4x Combine like terms: -8 + 8 = 0 8 + e2 + -6e2x + 4x = 0 + -4x + 4x 8 + e2 + -6e2x + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 8 + e2 + -6e2x + 4x = 0 The solution to this equation could not be determined.
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