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Simplifying lg(x + -3) + lg(x + 3) = 2 Reorder the terms: gl(-3 + x) + lg(x + 3) = 2 (-3 * gl + x * gl) + lg(x + 3) = 2 (-3gl + glx) + lg(x + 3) = 2 Reorder the terms: -3gl + glx + gl(3 + x) = 2 -3gl + glx + (3 * gl + x * gl) = 2 -3gl + glx + (3gl + glx) = 2 Reorder the terms: -3gl + 3gl + glx + glx = 2 Combine like terms: -3gl + 3gl = 0 0 + glx + glx = 2 glx + glx = 2 Combine like terms: glx + glx = 2glx 2glx = 2 Solving 2glx = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '2lx'. g = l-1x-1 Simplifying g = l-1x-1
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