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Simplifying lg(x + -3) = lgx + 2 Reorder the terms: gl(-3 + x) = lgx + 2 (-3 * gl + x * gl) = lgx + 2 (-3gl + glx) = lgx + 2 Reorder the terms: -3gl + glx = 2 + glx Add '-1glx' to each side of the equation. -3gl + glx + -1glx = 2 + glx + -1glx Combine like terms: glx + -1glx = 0 -3gl + 0 = 2 + glx + -1glx -3gl = 2 + glx + -1glx Combine like terms: glx + -1glx = 0 -3gl = 2 + 0 -3gl = 2 Solving -3gl = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '-3l'. g = -0.6666666667l-1 Simplifying g = -0.6666666667l-1
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