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Simplifying (2m + -1) * x + 3n + 1 = 7 Reorder the terms: (-1 + 2m) * x + 3n + 1 = 7 Reorder the terms for easier multiplication: x(-1 + 2m) + 3n + 1 = 7 (-1 * x + 2m * x) + 3n + 1 = 7 Reorder the terms: (2mx + -1x) + 3n + 1 = 7 (2mx + -1x) + 3n + 1 = 7 Reorder the terms: 1 + 2mx + 3n + -1x = 7 Solving 1 + 2mx + 3n + -1x = 7 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 + 2mx + 3n + -1 + -1x = 7 + -1 Reorder the terms: 1 + -1 + 2mx + 3n + -1x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2mx + 3n + -1x = 7 + -1 2mx + 3n + -1x = 7 + -1 Combine like terms: 7 + -1 = 6 2mx + 3n + -1x = 6 Add '-3n' to each side of the equation. 2mx + 3n + -3n + -1x = 6 + -3n Combine like terms: 3n + -3n = 0 2mx + 0 + -1x = 6 + -3n 2mx + -1x = 6 + -3n Add 'x' to each side of the equation. 2mx + -1x + x = 6 + -3n + x Combine like terms: -1x + x = 0 2mx + 0 = 6 + -3n + x 2mx = 6 + -3n + x Divide each side by '2x'. m = 3x-1 + -1.5nx-1 + 0.5 Simplifying m = 3x-1 + -1.5nx-1 + 0.5 Reorder the terms: m = 0.5 + -1.5nx-1 + 3x-1
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