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Simplifying logx + (x + 6) = 2 Reorder the terms: glox + (6 + x) = 2 Remove parenthesis around (6 + x) glox + 6 + x = 2 Reorder the terms: 6 + glox + x = 2 Solving 6 + glox + x = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + glox + -6 + x = 2 + -6 Reorder the terms: 6 + -6 + glox + x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + glox + x = 2 + -6 glox + x = 2 + -6 Combine like terms: 2 + -6 = -4 glox + x = -4 Add '-1x' to each side of the equation. glox + x + -1x = -4 + -1x Combine like terms: x + -1x = 0 glox + 0 = -4 + -1x glox = -4 + -1x Divide each side by 'lox'. g = -4l-1o-1x-1 + -1l-1o-1 Simplifying g = -4l-1o-1x-1 + -1l-1o-1 Reorder the terms: g = -1l-1o-1 + -4l-1o-1x-1
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