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Simplifying lg(x + -5) + lg(25 + -1x) = 2 Reorder the terms: gl(-5 + x) + lg(25 + -1x) = 2 (-5 * gl + x * gl) + lg(25 + -1x) = 2 (-5gl + glx) + lg(25 + -1x) = 2 -5gl + glx + (25 * gl + -1x * gl) = 2 -5gl + glx + (25gl + -1glx) = 2 Reorder the terms: -5gl + 25gl + glx + -1glx = 2 Combine like terms: -5gl + 25gl = 20gl 20gl + glx + -1glx = 2 Combine like terms: glx + -1glx = 0 20gl + 0 = 2 20gl = 2 Solving 20gl = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '20l'. g = 0.1l-1 Simplifying g = 0.1l-1
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