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Simplifying g(x) = 2x + -6g(2x) Multiply g * x gx = 2x + -6g(2x) Remove parenthesis around (2x) gx = 2x + -6g * 2x Reorder the terms for easier multiplication: gx = 2x + -6 * 2g * x Multiply -6 * 2 gx = 2x + -12g * x Multiply g * x gx = 2x + -12gx Reorder the terms: gx = -12gx + 2x Solving gx = -12gx + 2x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12gx' to each side of the equation. gx + 12gx = -12gx + 12gx + 2x Combine like terms: gx + 12gx = 13gx 13gx = -12gx + 12gx + 2x Combine like terms: -12gx + 12gx = 0 13gx = 0 + 2x 13gx = 2x Divide each side by '13x'. g = 0.1538461538 Simplifying g = 0.1538461538
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