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Simplifying (2m + 3) * x + -3x + 1 = 0 Reorder the terms: (3 + 2m) * x + -3x + 1 = 0 Reorder the terms for easier multiplication: x(3 + 2m) + -3x + 1 = 0 (3 * x + 2m * x) + -3x + 1 = 0 Reorder the terms: (2mx + 3x) + -3x + 1 = 0 (2mx + 3x) + -3x + 1 = 0 Reorder the terms: 1 + 2mx + 3x + -3x = 0 Combine like terms: 3x + -3x = 0 1 + 2mx + 0 = 0 1 + 2mx = 0 Solving 1 + 2mx = 0 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 + -1 + 2mx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2mx = 0 + -1 2mx = 0 + -1 Combine like terms: 0 + -1 = -1 2mx = -1 Divide each side by '2x'. m = -0.5x-1 Simplifying m = -0.5x-1
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