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Simplifying 4lg(x) + -6 = 2lg(x) Multiply gl * x 4glx + -6 = 2lg(x) Reorder the terms: -6 + 4glx = 2lg(x) Multiply gl * x -6 + 4glx = 2glx Solving -6 + 4glx = 2glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glx' to each side of the equation. -6 + 4glx + -2glx = 2glx + -2glx Combine like terms: 4glx + -2glx = 2glx -6 + 2glx = 2glx + -2glx Combine like terms: 2glx + -2glx = 0 -6 + 2glx = 0 Add '6' to each side of the equation. -6 + 6 + 2glx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2glx = 0 + 6 2glx = 0 + 6 Combine like terms: 0 + 6 = 6 2glx = 6 Divide each side by '2lx'. g = 3l-1x-1 Simplifying g = 3l-1x-1
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