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Simplifying x2 + x + mx + -1 = 0 Reorder the terms: -1 + mx + x + x2 = 0 Solving -1 + mx + x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + mx + x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + mx + x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + mx + x + x2 = 0 + 1 mx + x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 mx + x + x2 = 1 Add '-1x' to each side of the equation. mx + x + -1x + x2 = 1 + -1x Combine like terms: x + -1x = 0 mx + 0 + x2 = 1 + -1x mx + x2 = 1 + -1x Add '-1x2' to each side of the equation. mx + x2 + -1x2 = 1 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 mx + 0 = 1 + -1x + -1x2 mx = 1 + -1x + -1x2 Divide each side by 'x'. m = x-1 + -1 + -1x Simplifying m = x-1 + -1 + -1x Reorder the terms: m = -1 + x-1 + -1x
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