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Simplifying (3 + -2m) * x + -12 = 0 Reorder the terms for easier multiplication: x(3 + -2m) + -12 = 0 (3 * x + -2m * x) + -12 = 0 Reorder the terms: (-2mx + 3x) + -12 = 0 (-2mx + 3x) + -12 = 0 Reorder the terms: -12 + -2mx + 3x = 0 Solving -12 + -2mx + 3x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -2mx + 12 + 3x = 0 + 12 Reorder the terms: -12 + 12 + -2mx + 3x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2mx + 3x = 0 + 12 -2mx + 3x = 0 + 12 Combine like terms: 0 + 12 = 12 -2mx + 3x = 12 Add '-3x' to each side of the equation. -2mx + 3x + -3x = 12 + -3x Combine like terms: 3x + -3x = 0 -2mx + 0 = 12 + -3x -2mx = 12 + -3x Divide each side by '-2x'. m = -6x-1 + 1.5 Simplifying m = -6x-1 + 1.5 Reorder the terms: m = 1.5 + -6x-1
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