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Simplifying lnx + -5[ln(x + -7) + ln(x + 7)] = 0 Reorder the terms: lnx + -5[ln(-7 + x) + ln(x + 7)] = 0 lnx + -5[(-7 * ln + x * ln) + ln(x + 7)] = 0 lnx + -5[(-7ln + lnx) + ln(x + 7)] = 0 Reorder the terms: lnx + -5[-7ln + lnx + ln(7 + x)] = 0 lnx + -5[-7ln + lnx + (7 * ln + x * ln)] = 0 lnx + -5[-7ln + lnx + (7ln + lnx)] = 0 Reorder the terms: lnx + -5[-7ln + 7ln + lnx + lnx] = 0 Combine like terms: -7ln + 7ln = 0 lnx + -5[0 + lnx + lnx] = 0 lnx + -5[lnx + lnx] = 0 Combine like terms: lnx + lnx = 2lnx lnx + -5[2lnx] = 0 Remove brackets around [2lnx] lnx + -5 * 2lnx = 0 Multiply -5 * 2 lnx + -10lnx = 0 Combine like terms: lnx + -10lnx = -9lnx -9lnx = 0 Solving -9lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '-9'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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