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Simplifying mx + 1 + -1x2 + -4x + 10 = 0 Reorder the terms: 1 + 10 + mx + -4x + -1x2 = 0 Combine like terms: 1 + 10 = 11 11 + mx + -4x + -1x2 = 0 Solving 11 + mx + -4x + -1x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + mx + -4x + -11 + -1x2 = 0 + -11 Reorder the terms: 11 + -11 + mx + -4x + -1x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + mx + -4x + -1x2 = 0 + -11 mx + -4x + -1x2 = 0 + -11 Combine like terms: 0 + -11 = -11 mx + -4x + -1x2 = -11 Add '4x' to each side of the equation. mx + -4x + 4x + -1x2 = -11 + 4x Combine like terms: -4x + 4x = 0 mx + 0 + -1x2 = -11 + 4x mx + -1x2 = -11 + 4x Add 'x2' to each side of the equation. mx + -1x2 + x2 = -11 + 4x + x2 Combine like terms: -1x2 + x2 = 0 mx + 0 = -11 + 4x + x2 mx = -11 + 4x + x2 Divide each side by 'x'. m = -11x-1 + 4 + x Simplifying m = -11x-1 + 4 + x Reorder the terms: m = 4 + -11x-1 + x
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