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Simplifying (2m + 3)(x + 2) = 0 Reorder the terms: (3 + 2m)(x + 2) = 0 Reorder the terms: (3 + 2m)(2 + x) = 0 Multiply (3 + 2m) * (2 + x) (3(2 + x) + 2m * (2 + x)) = 0 ((2 * 3 + x * 3) + 2m * (2 + x)) = 0 ((6 + 3x) + 2m * (2 + x)) = 0 (6 + 3x + (2 * 2m + x * 2m)) = 0 (6 + 3x + (4m + 2mx)) = 0 Reorder the terms: (6 + 4m + 2mx + 3x) = 0 (6 + 4m + 2mx + 3x) = 0 Solving 6 + 4m + 2mx + 3x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4m + 2mx + -6 + 3x = 0 + -6 Reorder the terms: 6 + -6 + 4m + 2mx + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4m + 2mx + 3x = 0 + -6 4m + 2mx + 3x = 0 + -6 Combine like terms: 0 + -6 = -6 4m + 2mx + 3x = -6 Add '-3x' to each side of the equation. 4m + 2mx + 3x + -3x = -6 + -3x Combine like terms: 3x + -3x = 0 4m + 2mx + 0 = -6 + -3x 4m + 2mx = -6 + -3x Reorder the terms: 6 + 4m + 2mx + 3x = -6 + -3x + 6 + 3x Reorder the terms: 6 + 4m + 2mx + 3x = -6 + 6 + -3x + 3x Combine like terms: -6 + 6 = 0 6 + 4m + 2mx + 3x = 0 + -3x + 3x 6 + 4m + 2mx + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 6 + 4m + 2mx + 3x = 0 The solution to this equation could not be determined.
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