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Simplifying log(2x + 3) + -4 = log(3 + -1x) + 7 Reorder the terms: glo(3 + 2x) + -4 = log(3 + -1x) + 7 (3 * glo + 2x * glo) + -4 = log(3 + -1x) + 7 (3glo + 2glox) + -4 = log(3 + -1x) + 7 Reorder the terms: -4 + 3glo + 2glox = log(3 + -1x) + 7 -4 + 3glo + 2glox = (3 * glo + -1x * glo) + 7 -4 + 3glo + 2glox = (3glo + -1glox) + 7 Reorder the terms: -4 + 3glo + 2glox = 7 + 3glo + -1glox Add '-3glo' to each side of the equation. -4 + 3glo + -3glo + 2glox = 7 + 3glo + -3glo + -1glox Combine like terms: 3glo + -3glo = 0 -4 + 0 + 2glox = 7 + 3glo + -3glo + -1glox -4 + 2glox = 7 + 3glo + -3glo + -1glox Combine like terms: 3glo + -3glo = 0 -4 + 2glox = 7 + 0 + -1glox -4 + 2glox = 7 + -1glox Solving -4 + 2glox = 7 + -1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glox' to each side of the equation. -4 + 2glox + glox = 7 + -1glox + glox Combine like terms: 2glox + glox = 3glox -4 + 3glox = 7 + -1glox + glox Combine like terms: -1glox + glox = 0 -4 + 3glox = 7 + 0 -4 + 3glox = 7 Add '4' to each side of the equation. -4 + 4 + 3glox = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 3glox = 7 + 4 3glox = 7 + 4 Combine like terms: 7 + 4 = 11 3glox = 11 Divide each side by '3lox'. g = 3.666666667l-1o-1x-1 Simplifying g = 3.666666667l-1o-1x-1
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