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Simplifying 6 + gx + -3x = 18 + -6 Combine like terms: 18 + -6 = 12 6 + gx + -3x = 12 Solving 6 + gx + -3x = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + gx + -6 + -3x = 12 + -6 Reorder the terms: 6 + -6 + gx + -3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + gx + -3x = 12 + -6 gx + -3x = 12 + -6 Combine like terms: 12 + -6 = 6 gx + -3x = 6 Add '3x' to each side of the equation. gx + -3x + 3x = 6 + 3x Combine like terms: -3x + 3x = 0 gx + 0 = 6 + 3x gx = 6 + 3x Divide each side by 'x'. g = 6x-1 + 3 Simplifying g = 6x-1 + 3 Reorder the terms: g = 3 + 6x-1
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