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Simplifying (4x + 13) = log[3](9x + -2) Reorder the terms: (13 + 4x) = log[3](9x + -2) Remove parenthesis around (13 + 4x) 13 + 4x = log[3](9x + -2) Reorder the terms: 13 + 4x = glo * 3(-2 + 9x) Reorder the terms for easier multiplication: 13 + 4x = 3glo(-2 + 9x) 13 + 4x = (-2 * 3glo + 9x * 3glo) 13 + 4x = (-6glo + 27glox) Solving 13 + 4x = -6glo + 27glox Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27glox' to each side of the equation. 13 + -27glox + 4x = -6glo + 27glox + -27glox Combine like terms: 27glox + -27glox = 0 13 + -27glox + 4x = -6glo + 0 13 + -27glox + 4x = -6glo Add '-13' to each side of the equation. 13 + -27glox + -13 + 4x = -13 + -6glo Reorder the terms: 13 + -13 + -27glox + 4x = -13 + -6glo Combine like terms: 13 + -13 = 0 0 + -27glox + 4x = -13 + -6glo -27glox + 4x = -13 + -6glo Reorder the terms: 13 + 6glo + -27glox + 4x = -13 + -6glo + 13 + 6glo Reorder the terms: 13 + 6glo + -27glox + 4x = -13 + 13 + -6glo + 6glo Combine like terms: -13 + 13 = 0 13 + 6glo + -27glox + 4x = 0 + -6glo + 6glo 13 + 6glo + -27glox + 4x = -6glo + 6glo Combine like terms: -6glo + 6glo = 0 13 + 6glo + -27glox + 4x = 0 The solution to this equation could not be determined.
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