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Simplifying ln(x + -3) + ln(x + 0.2) = ln(x + -7) Reorder the terms: ln(-3 + x) + ln(x + 0.2) = ln(x + -7) (-3 * ln + x * ln) + ln(x + 0.2) = ln(x + -7) (-3ln + lnx) + ln(x + 0.2) = ln(x + -7) Reorder the terms: -3ln + lnx + ln(0.2 + x) = ln(x + -7) -3ln + lnx + (0.2 * ln + x * ln) = ln(x + -7) -3ln + lnx + (0.2ln + lnx) = ln(x + -7) Reorder the terms: -3ln + 0.2ln + lnx + lnx = ln(x + -7) Combine like terms: -3ln + 0.2ln = -2.8ln -2.8ln + lnx + lnx = ln(x + -7) Combine like terms: lnx + lnx = 2lnx -2.8ln + 2lnx = ln(x + -7) Reorder the terms: -2.8ln + 2lnx = ln(-7 + x) -2.8ln + 2lnx = (-7 * ln + x * ln) -2.8ln + 2lnx = (-7ln + lnx) Solving -2.8ln + 2lnx = -7ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '7ln' to each side of the equation. -2.8ln + 7ln + 2lnx = -7ln + 7ln + lnx Combine like terms: -2.8ln + 7ln = 4.2ln 4.2ln + 2lnx = -7ln + 7ln + lnx Combine like terms: -7ln + 7ln = 0 4.2ln + 2lnx = 0 + lnx 4.2ln + 2lnx = lnx Add '-1lnx' to each side of the equation. 4.2ln + 2lnx + -1lnx = lnx + -1lnx Combine like terms: 2lnx + -1lnx = 1lnx 4.2ln + 1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 4.2ln + 1lnx = 0 The solution to this equation could not be determined.
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