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Simplifying gx2 + -3x + 5x + -7x2 = 0 Combine like terms: -3x + 5x = 2x gx2 + 2x + -7x2 = 0 Solving gx2 + 2x + -7x2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2x' to each side of the equation. gx2 + 2x + -2x + -7x2 = 0 + -2x Combine like terms: 2x + -2x = 0 gx2 + 0 + -7x2 = 0 + -2x gx2 + -7x2 = 0 + -2x Remove the zero: gx2 + -7x2 = -2x Add '7x2' to each side of the equation. gx2 + -7x2 + 7x2 = -2x + 7x2 Combine like terms: -7x2 + 7x2 = 0 gx2 + 0 = -2x + 7x2 gx2 = -2x + 7x2 Divide each side by 'x2'. g = -2x-1 + 7 Simplifying g = -2x-1 + 7 Reorder the terms: g = 7 + -2x-1
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