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Simplifying ln(7x + 2) = ln(2 + -1x) Reorder the terms: ln(2 + 7x) = ln(2 + -1x) (2 * ln + 7x * ln) = ln(2 + -1x) (2ln + 7lnx) = ln(2 + -1x) 2ln + 7lnx = (2 * ln + -1x * ln) 2ln + 7lnx = (2ln + -1lnx) Add '-2ln' to each side of the equation. 2ln + -2ln + 7lnx = 2ln + -2ln + -1lnx Combine like terms: 2ln + -2ln = 0 0 + 7lnx = 2ln + -2ln + -1lnx 7lnx = 2ln + -2ln + -1lnx Combine like terms: 2ln + -2ln = 0 7lnx = 0 + -1lnx 7lnx = -1lnx Solving 7lnx = -1lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'lnx' to each side of the equation. 7lnx + lnx = -1lnx + lnx Combine like terms: 7lnx + lnx = 8lnx 8lnx = -1lnx + lnx Combine like terms: -1lnx + lnx = 0 8lnx = 0 Divide each side by '8'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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