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Simplifying 2x + 2y + -2 + 2gx = x2 + -1y2 + 1 Reorder the terms: -2 + 2gx + 2x + 2y = x2 + -1y2 + 1 Reorder the terms: -2 + 2gx + 2x + 2y = 1 + x2 + -1y2 Solving -2 + 2gx + 2x + 2y = 1 + x2 + -1y2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2gx + 2x + 2 + 2y = 1 + x2 + 2 + -1y2 Reorder the terms: -2 + 2 + 2gx + 2x + 2y = 1 + x2 + 2 + -1y2 Combine like terms: -2 + 2 = 0 0 + 2gx + 2x + 2y = 1 + x2 + 2 + -1y2 2gx + 2x + 2y = 1 + x2 + 2 + -1y2 Reorder the terms: 2gx + 2x + 2y = 1 + 2 + x2 + -1y2 Combine like terms: 1 + 2 = 3 2gx + 2x + 2y = 3 + x2 + -1y2 Add '-2x' to each side of the equation. 2gx + 2x + -2x + 2y = 3 + x2 + -2x + -1y2 Combine like terms: 2x + -2x = 0 2gx + 0 + 2y = 3 + x2 + -2x + -1y2 2gx + 2y = 3 + x2 + -2x + -1y2 Reorder the terms: 2gx + 2y = 3 + -2x + x2 + -1y2 Add '-2y' to each side of the equation. 2gx + 2y + -2y = 3 + -2x + x2 + -2y + -1y2 Combine like terms: 2y + -2y = 0 2gx + 0 = 3 + -2x + x2 + -2y + -1y2 2gx = 3 + -2x + x2 + -2y + -1y2 Divide each side by '2x'. g = 1.5x-1 + -1 + 0.5x + -1x-1y + -0.5x-1y2 Simplifying g = 1.5x-1 + -1 + 0.5x + -1x-1y + -0.5x-1y2 Reorder the terms: g = -1 + 1.5x-1 + -1x-1y + -0.5x-1y2 + 0.5x
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