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