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Simplifying Xln(3) + (7x + 2) = ln(15) Reorder the terms for easier multiplication: 3lnX + (7x + 2) = ln(15) Reorder the terms: 3lnX + (2 + 7x) = ln(15) Remove parenthesis around (2 + 7x) 3lnX + 2 + 7x = ln(15) Reorder the terms: 2 + 3lnX + 7x = ln(15) Reorder the terms for easier multiplication: 2 + 3lnX + 7x = 15ln Solving 2 + 3lnX + 7x = 15ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-15ln' to each side of the equation. 2 + 3lnX + -15ln + 7x = 15ln + -15ln Reorder the terms: 2 + -15ln + 3lnX + 7x = 15ln + -15ln Combine like terms: 15ln + -15ln = 0 2 + -15ln + 3lnX + 7x = 0 Add '-2' to each side of the equation. 2 + -15ln + 3lnX + -2 + 7x = 0 + -2 Reorder the terms: 2 + -2 + -15ln + 3lnX + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -15ln + 3lnX + 7x = 0 + -2 -15ln + 3lnX + 7x = 0 + -2 Combine like terms: 0 + -2 = -2 -15ln + 3lnX + 7x = -2 Add '-7x' to each side of the equation. -15ln + 3lnX + 7x + -7x = -2 + -7x Combine like terms: 7x + -7x = 0 -15ln + 3lnX + 0 = -2 + -7x -15ln + 3lnX = -2 + -7x Reorder the terms: 2 + -15ln + 3lnX + 7x = -2 + -7x + 2 + 7x Reorder the terms: 2 + -15ln + 3lnX + 7x = -2 + 2 + -7x + 7x Combine like terms: -2 + 2 = 0 2 + -15ln + 3lnX + 7x = 0 + -7x + 7x 2 + -15ln + 3lnX + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 2 + -15ln + 3lnX + 7x = 0 The solution to this equation could not be determined.
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