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Simplifying (4x + -1) = log(x + 1) + log(2) Reorder the terms: (-1 + 4x) = log(x + 1) + log(2) Remove parenthesis around (-1 + 4x) -1 + 4x = log(x + 1) + log(2) Reorder the terms: -1 + 4x = glo(1 + x) + log(2) -1 + 4x = (1 * glo + x * glo) + log(2) -1 + 4x = (1glo + glox) + log(2) Reorder the terms for easier multiplication: -1 + 4x = 1glo + glox + 2glo Reorder the terms: -1 + 4x = 1glo + 2glo + glox Combine like terms: 1glo + 2glo = 3glo -1 + 4x = 3glo + glox Solving -1 + 4x = 3glo + glox Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1glox' to each side of the equation. -1 + -1glox + 4x = 3glo + glox + -1glox Combine like terms: glox + -1glox = 0 -1 + -1glox + 4x = 3glo + 0 -1 + -1glox + 4x = 3glo Add '1' to each side of the equation. -1 + -1glox + 1 + 4x = 1 + 3glo Reorder the terms: -1 + 1 + -1glox + 4x = 1 + 3glo Combine like terms: -1 + 1 = 0 0 + -1glox + 4x = 1 + 3glo -1glox + 4x = 1 + 3glo Reorder the terms: -1 + -3glo + -1glox + 4x = 1 + 3glo + -1 + -3glo Reorder the terms: -1 + -3glo + -1glox + 4x = 1 + -1 + 3glo + -3glo Combine like terms: 1 + -1 = 0 -1 + -3glo + -1glox + 4x = 0 + 3glo + -3glo -1 + -3glo + -1glox + 4x = 3glo + -3glo Combine like terms: 3glo + -3glo = 0 -1 + -3glo + -1glox + 4x = 0 The solution to this equation could not be determined.
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