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Simplifying g(-1x) + 2x2 + -5x = 1 Remove parenthesis around (-1x) g * -1x + 2x2 + -5x = 1 Reorder the terms for easier multiplication: -1g * x + 2x2 + -5x = 1 Multiply g * x -1gx + 2x2 + -5x = 1 Reorder the terms: -1gx + -5x + 2x2 = 1 Solving -1gx + -5x + 2x2 = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5x' to each side of the equation. -1gx + -5x + 5x + 2x2 = 1 + 5x Combine like terms: -5x + 5x = 0 -1gx + 0 + 2x2 = 1 + 5x -1gx + 2x2 = 1 + 5x Add '-2x2' to each side of the equation. -1gx + 2x2 + -2x2 = 1 + 5x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1gx + 0 = 1 + 5x + -2x2 -1gx = 1 + 5x + -2x2 Divide each side by '-1x'. g = -1x-1 + -5 + 2x Simplifying g = -1x-1 + -5 + 2x Reorder the terms: g = -5 + -1x-1 + 2x
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