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Simplifying 2x(5m + 1) = 0 Reorder the terms: 2x(1 + 5m) = 0 (1 * 2x + 5m * 2x) = 0 Reorder the terms: (10mx + 2x) = 0 (10mx + 2x) = 0 Solving 10mx + 2x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2x' to each side of the equation. 10mx + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 10mx + 0 = 0 + -2x 10mx = 0 + -2x Remove the zero: 10mx = -2x Divide each side by '10x'. m = -0.2 Simplifying m = -0.2
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