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Simplifying Ln(x + 5) + ln(x + 2) = 1 Reorder the terms: nL(5 + x) + ln(x + 2) = 1 (5 * nL + x * nL) + ln(x + 2) = 1 (5nL + nxL) + ln(x + 2) = 1 Reorder the terms: 5nL + nxL + ln(2 + x) = 1 5nL + nxL + (2 * ln + x * ln) = 1 5nL + nxL + (2ln + lnx) = 1 Reorder the terms: 2ln + lnx + 5nL + nxL = 1 Solving 2ln + lnx + 5nL + nxL = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5nL' to each side of the equation. 2ln + lnx + 5nL + -5nL + nxL = 1 + -5nL Combine like terms: 5nL + -5nL = 0 2ln + lnx + 0 + nxL = 1 + -5nL 2ln + lnx + nxL = 1 + -5nL Add '-1nxL' to each side of the equation. 2ln + lnx + nxL + -1nxL = 1 + -5nL + -1nxL Combine like terms: nxL + -1nxL = 0 2ln + lnx + 0 = 1 + -5nL + -1nxL 2ln + lnx = 1 + -5nL + -1nxL Reorder the terms: -1 + 2ln + lnx + 5nL + nxL = 1 + -5nL + -1nxL + -1 + 5nL + nxL Reorder the terms: -1 + 2ln + lnx + 5nL + nxL = 1 + -1 + -5nL + 5nL + -1nxL + nxL Combine like terms: 1 + -1 = 0 -1 + 2ln + lnx + 5nL + nxL = 0 + -5nL + 5nL + -1nxL + nxL -1 + 2ln + lnx + 5nL + nxL = -5nL + 5nL + -1nxL + nxL Combine like terms: -5nL + 5nL = 0 -1 + 2ln + lnx + 5nL + nxL = 0 + -1nxL + nxL -1 + 2ln + lnx + 5nL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -1 + 2ln + lnx + 5nL + nxL = 0 The solution to this equation could not be determined.
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