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Simplifying (2m + 1) * x + -1(3m + -1) * x + 2 = 0 Reorder the terms: (1 + 2m) * x + -1(3m + -1) * x + 2 = 0 Reorder the terms for easier multiplication: x(1 + 2m) + -1(3m + -1) * x + 2 = 0 (1 * x + 2m * x) + -1(3m + -1) * x + 2 = 0 Reorder the terms: (2mx + 1x) + -1(3m + -1) * x + 2 = 0 (2mx + 1x) + -1(3m + -1) * x + 2 = 0 Reorder the terms: 2mx + 1x + -1(-1 + 3m) * x + 2 = 0 Reorder the terms for easier multiplication: 2mx + 1x + -1x(-1 + 3m) + 2 = 0 2mx + 1x + (-1 * -1x + 3m * -1x) + 2 = 0 Reorder the terms: 2mx + 1x + (-3mx + 1x) + 2 = 0 2mx + 1x + (-3mx + 1x) + 2 = 0 Reorder the terms: 2 + 2mx + -3mx + 1x + 1x = 0 Combine like terms: 2mx + -3mx = -1mx 2 + -1mx + 1x + 1x = 0 Combine like terms: 1x + 1x = 2x 2 + -1mx + 2x = 0 Solving 2 + -1mx + 2x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1mx + -2 + 2x = 0 + -2 Reorder the terms: 2 + -2 + -1mx + 2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1mx + 2x = 0 + -2 -1mx + 2x = 0 + -2 Combine like terms: 0 + -2 = -2 -1mx + 2x = -2 Add '-2x' to each side of the equation. -1mx + 2x + -2x = -2 + -2x Combine like terms: 2x + -2x = 0 -1mx + 0 = -2 + -2x -1mx = -2 + -2x Divide each side by '-1x'. m = 2x-1 + 2 Simplifying m = 2x-1 + 2 Reorder the terms: m = 2 + 2x-1
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