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Simplifying 3x + 5x(5g + 6g) * 12x + 3x = 0 Combine like terms: 5g + 6g = 11g 3x + 5x(11g) * 12x + 3x = 0 Remove parenthesis around (11g) 3x + 5x * 11g * 12x + 3x = 0 Reorder the terms for easier multiplication: 3x + 5 * 11 * 12x * g * x + 3x = 0 Multiply 5 * 11 3x + 55 * 12x * g * x + 3x = 0 Multiply 55 * 12 3x + 660x * g * x + 3x = 0 Multiply x * g 3x + 660gx * x + 3x = 0 Multiply gx * x 3x + 660gx2 + 3x = 0 Reorder the terms: 660gx2 + 3x + 3x = 0 Combine like terms: 3x + 3x = 6x 660gx2 + 6x = 0 Solving 660gx2 + 6x = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6x' to each side of the equation. 660gx2 + 6x + -6x = 0 + -6x Combine like terms: 6x + -6x = 0 660gx2 + 0 = 0 + -6x 660gx2 = 0 + -6x Remove the zero: 660gx2 = -6x Divide each side by '660x2'. g = -0.009090909091x-1 Simplifying g = -0.009090909091x-1
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