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Simplifying 2lnx + -6ex2(2x + 3) + 3x = 18 Reorder the terms: 2lnx + -6ex2(3 + 2x) + 3x = 18 2lnx + (3 * -6ex2 + 2x * -6ex2) + 3x = 18 2lnx + (-18ex2 + -12ex3) + 3x = 18 Reorder the terms: -18ex2 + -12ex3 + 2lnx + 3x = 18 Solving -18ex2 + -12ex3 + 2lnx + 3x = 18 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2lnx' to each side of the equation. -18ex2 + -12ex3 + 2lnx + -2lnx + 3x = 18 + -2lnx Combine like terms: 2lnx + -2lnx = 0 -18ex2 + -12ex3 + 0 + 3x = 18 + -2lnx -18ex2 + -12ex3 + 3x = 18 + -2lnx Add '-3x' to each side of the equation. -18ex2 + -12ex3 + 3x + -3x = 18 + -2lnx + -3x Combine like terms: 3x + -3x = 0 -18ex2 + -12ex3 + 0 = 18 + -2lnx + -3x -18ex2 + -12ex3 = 18 + -2lnx + -3x Reorder the terms: -18 + -18ex2 + -12ex3 + 2lnx + 3x = 18 + -2lnx + -3x + -18 + 2lnx + 3x Reorder the terms: -18 + -18ex2 + -12ex3 + 2lnx + 3x = 18 + -18 + -2lnx + 2lnx + -3x + 3x Combine like terms: 18 + -18 = 0 -18 + -18ex2 + -12ex3 + 2lnx + 3x = 0 + -2lnx + 2lnx + -3x + 3x -18 + -18ex2 + -12ex3 + 2lnx + 3x = -2lnx + 2lnx + -3x + 3x Combine like terms: -2lnx + 2lnx = 0 -18 + -18ex2 + -12ex3 + 2lnx + 3x = 0 + -3x + 3x -18 + -18ex2 + -12ex3 + 2lnx + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -18 + -18ex2 + -12ex3 + 2lnx + 3x = 0 The solution to this equation could not be determined.
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