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Simplifying log(x + 4) + -1log + x = log(x + -2) Reorder the terms: glo(4 + x) + -1log + x = log(x + -2) (4 * glo + x * glo) + -1log + x = log(x + -2) (4glo + glox) + -1log + x = log(x + -2) Reorder the terms: 4glo + -1glo + glox + x = log(x + -2) Combine like terms: 4glo + -1glo = 3glo 3glo + glox + x = log(x + -2) Reorder the terms: 3glo + glox + x = glo(-2 + x) 3glo + glox + x = (-2 * glo + x * glo) 3glo + glox + x = (-2glo + glox) Add '-1glox' to each side of the equation. 3glo + glox + -1glox + x = -2glo + glox + -1glox Combine like terms: glox + -1glox = 0 3glo + 0 + x = -2glo + glox + -1glox 3glo + x = -2glo + glox + -1glox Combine like terms: glox + -1glox = 0 3glo + x = -2glo + 0 3glo + x = -2glo Solving 3glo + x = -2glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. 3glo + 2glo + x = -2glo + 2glo Combine like terms: 3glo + 2glo = 5glo 5glo + x = -2glo + 2glo Combine like terms: -2glo + 2glo = 0 5glo + x = 0 Add '-1x' to each side of the equation. 5glo + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 5glo + 0 = 0 + -1x 5glo = 0 + -1x Remove the zero: 5glo = -1x Divide each side by '5lo'. g = -0.2l-1o-1x Simplifying g = -0.2l-1o-1x
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