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Simplifying lgx + [5(x + 1)] = 2 Reorder the terms: glx + [5(1 + x)] = 2 glx + [(1 * 5 + x * 5)] = 2 glx + [(5 + 5x)] = 2 glx + [5 + 5x] = 2 Remove brackets around [5 + 5x] glx + 5 + 5x = 2 Reorder the terms: 5 + glx + 5x = 2 Solving 5 + glx + 5x = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + glx + -5 + 5x = 2 + -5 Reorder the terms: 5 + -5 + glx + 5x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + glx + 5x = 2 + -5 glx + 5x = 2 + -5 Combine like terms: 2 + -5 = -3 glx + 5x = -3 Add '-5x' to each side of the equation. glx + 5x + -5x = -3 + -5x Combine like terms: 5x + -5x = 0 glx + 0 = -3 + -5x glx = -3 + -5x Divide each side by 'lx'. g = -3l-1x-1 + -5l-1 Simplifying g = -3l-1x-1 + -5l-1 Reorder the terms: g = -5l-1 + -3l-1x-1
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