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Simplifying 4x(m + 11) = 8x(16 + -1m) Reorder the terms: 4x(11 + m) = 8x(16 + -1m) (11 * 4x + m * 4x) = 8x(16 + -1m) Reorder the terms: (4mx + 44x) = 8x(16 + -1m) (4mx + 44x) = 8x(16 + -1m) 4mx + 44x = (16 * 8x + -1m * 8x) Reorder the terms: 4mx + 44x = (-8mx + 128x) 4mx + 44x = (-8mx + 128x) Solving 4mx + 44x = -8mx + 128x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8mx' to each side of the equation. 4mx + 8mx + 44x = -8mx + 8mx + 128x Combine like terms: 4mx + 8mx = 12mx 12mx + 44x = -8mx + 8mx + 128x Combine like terms: -8mx + 8mx = 0 12mx + 44x = 0 + 128x 12mx + 44x = 128x Add '-44x' to each side of the equation. 12mx + 44x + -44x = 128x + -44x Combine like terms: 44x + -44x = 0 12mx + 0 = 128x + -44x 12mx = 128x + -44x Combine like terms: 128x + -44x = 84x 12mx = 84x Divide each side by '12x'. m = 7 Simplifying m = 7
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