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Simplifying 10x = ln(2 + 4x) + -1ln(25) 10x = (2 * ln + 4x * ln) + -1ln(25) 10x = (2ln + 4lnx) + -1ln(25) Reorder the terms for easier multiplication: 10x = 2ln + 4lnx + -1 * 25ln Multiply -1 * 25 10x = 2ln + 4lnx + -25ln Reorder the terms: 10x = 2ln + -25ln + 4lnx Combine like terms: 2ln + -25ln = -23ln 10x = -23ln + 4lnx Solving 10x = -23ln + 4lnx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4lnx' to each side of the equation. -4lnx + 10x = -23ln + 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 -4lnx + 10x = -23ln + 0 -4lnx + 10x = -23ln Reorder the terms: 23ln + -4lnx + 10x = -23ln + 23ln Combine like terms: -23ln + 23ln = 0 23ln + -4lnx + 10x = 0 The solution to this equation could not be determined.
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