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Simplifying (4x + -9)(1) = (x + -4) * ln(5) Reorder the terms: (-9 + 4x)(1) = (x + -4) * ln(5) Reorder the terms for easier multiplication: 1(-9 + 4x) = (x + -4) * ln(5) (-9 * 1 + 4x * 1) = (x + -4) * ln(5) (-9 + 4x) = (x + -4) * ln(5) Reorder the terms: -9 + 4x = (-4 + x) * ln(5) Reorder the terms for easier multiplication: -9 + 4x = 5ln(-4 + x) -9 + 4x = (-4 * 5ln + x * 5ln) -9 + 4x = (-20ln + 5lnx) Solving -9 + 4x = -20ln + 5lnx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5lnx' to each side of the equation. -9 + -5lnx + 4x = -20ln + 5lnx + -5lnx Combine like terms: 5lnx + -5lnx = 0 -9 + -5lnx + 4x = -20ln + 0 -9 + -5lnx + 4x = -20ln Add '9' to each side of the equation. -9 + -5lnx + 9 + 4x = 9 + -20ln Reorder the terms: -9 + 9 + -5lnx + 4x = 9 + -20ln Combine like terms: -9 + 9 = 0 0 + -5lnx + 4x = 9 + -20ln -5lnx + 4x = 9 + -20ln Reorder the terms: -9 + 20ln + -5lnx + 4x = 9 + -20ln + -9 + 20ln Reorder the terms: -9 + 20ln + -5lnx + 4x = 9 + -9 + -20ln + 20ln Combine like terms: 9 + -9 = 0 -9 + 20ln + -5lnx + 4x = 0 + -20ln + 20ln -9 + 20ln + -5lnx + 4x = -20ln + 20ln Combine like terms: -20ln + 20ln = 0 -9 + 20ln + -5lnx + 4x = 0 The solution to this equation could not be determined.
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