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Simplifying -2(3m + 1) * x + 7(2m + 3) = 0 Reorder the terms: -2(1 + 3m) * x + 7(2m + 3) = 0 Reorder the terms for easier multiplication: -2x(1 + 3m) + 7(2m + 3) = 0 (1 * -2x + 3m * -2x) + 7(2m + 3) = 0 Reorder the terms: (-6mx + -2x) + 7(2m + 3) = 0 (-6mx + -2x) + 7(2m + 3) = 0 Reorder the terms: -6mx + -2x + 7(3 + 2m) = 0 -6mx + -2x + (3 * 7 + 2m * 7) = 0 -6mx + -2x + (21 + 14m) = 0 Reorder the terms: 21 + 14m + -6mx + -2x = 0 Solving 21 + 14m + -6mx + -2x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 14m + -6mx + -21 + -2x = 0 + -21 Reorder the terms: 21 + -21 + 14m + -6mx + -2x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 14m + -6mx + -2x = 0 + -21 14m + -6mx + -2x = 0 + -21 Combine like terms: 0 + -21 = -21 14m + -6mx + -2x = -21 Add '2x' to each side of the equation. 14m + -6mx + -2x + 2x = -21 + 2x Combine like terms: -2x + 2x = 0 14m + -6mx + 0 = -21 + 2x 14m + -6mx = -21 + 2x Reorder the terms: 21 + 14m + -6mx + -2x = -21 + 2x + 21 + -2x Reorder the terms: 21 + 14m + -6mx + -2x = -21 + 21 + 2x + -2x Combine like terms: -21 + 21 = 0 21 + 14m + -6mx + -2x = 0 + 2x + -2x 21 + 14m + -6mx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 21 + 14m + -6mx + -2x = 0 The solution to this equation could not be determined.
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