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Simplifying 5x + 8lne2x = 19 Reorder the terms: 8e2lnx + 5x = 19 Solving 8e2lnx + 5x = 19 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5x' to each side of the equation. 8e2lnx + 5x + -5x = 19 + -5x Combine like terms: 5x + -5x = 0 8e2lnx + 0 = 19 + -5x 8e2lnx = 19 + -5x Divide each side by '8lnx'. e2 = 2.375l-1n-1x-1 + -0.625l-1n-1 Simplifying e2 = 2.375l-1n-1x-1 + -0.625l-1n-1 Reorder the terms: e2 = -0.625l-1n-1 + 2.375l-1n-1x-1 Reorder the terms: e2 + 0.625l-1n-1 + -2.375l-1n-1x-1 = -0.625l-1n-1 + 0.625l-1n-1 + 2.375l-1n-1x-1 + -2.375l-1n-1x-1 Combine like terms: -0.625l-1n-1 + 0.625l-1n-1 = 0.000 e2 + 0.625l-1n-1 + -2.375l-1n-1x-1 = 0.000 + 2.375l-1n-1x-1 + -2.375l-1n-1x-1 e2 + 0.625l-1n-1 + -2.375l-1n-1x-1 = 2.375l-1n-1x-1 + -2.375l-1n-1x-1 Combine like terms: 2.375l-1n-1x-1 + -2.375l-1n-1x-1 = 0.000 e2 + 0.625l-1n-1 + -2.375l-1n-1x-1 = 0.000 The solution to this equation could not be determined.
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