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Simplifying 6xm + 1 + -1(-7xm + 2 + [-5xm + 3 + -1(4xm + 1 + -7xm + 2 + 3)] + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 Reorder the terms: 6mx + 1 + -1(-7mx + 2 + [-5mx + 3 + -1(1 + 2 + 3 + 4mx + -7mx)] + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 Combine like terms: 1 + 2 = 3 6mx + 1 + -1(-7mx + 2 + [-5mx + 3 + -1(3 + 3 + 4mx + -7mx)] + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 Combine like terms: 3 + 3 = 6 6mx + 1 + -1(-7mx + 2 + [-5mx + 3 + -1(6 + 4mx + -7mx)] + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 Combine like terms: 4mx + -7mx = -3mx 6mx + 1 + -1(-7mx + 2 + [-5mx + 3 + -1(6 + -3mx)] + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 6mx + 1 + -1(-7mx + 2 + [-5mx + 3 + (6 * -1 + -3mx * -1)] + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 6mx + 1 + -1(-7mx + 2 + [-5mx + 3 + (-6 + 3mx)] + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 Reorder the terms: 6mx + 1 + -1(-7mx + 2 + [3 + -6 + -5mx + 3mx] + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 Combine like terms: 3 + -6 = -3 6mx + 1 + -1(-7mx + 2 + [-3 + -5mx + 3mx] + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 Combine like terms: -5mx + 3mx = -2mx 6mx + 1 + -1(-7mx + 2 + [-3 + -2mx] + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 Remove brackets around [-3 + -2mx] 6mx + 1 + -1(-7mx + 2 + -3 + -2mx + -5xm + 1 + 3xm + 2 + 12xm + 3) = 0 Reorder the terms: 6mx + 1 + -1(2 + -3 + 1 + 2 + 3 + -7mx + -2mx + -5mx + 3mx + 12mx) = 0 Combine like terms: 2 + -3 = -1 6mx + 1 + -1(-1 + 1 + 2 + 3 + -7mx + -2mx + -5mx + 3mx + 12mx) = 0 Combine like terms: -1 + 1 = 0 6mx + 1 + -1(0 + 2 + 3 + -7mx + -2mx + -5mx + 3mx + 12mx) = 0 6mx + 1 + -1(2 + 3 + -7mx + -2mx + -5mx + 3mx + 12mx) = 0 Combine like terms: 2 + 3 = 5 6mx + 1 + -1(5 + -7mx + -2mx + -5mx + 3mx + 12mx) = 0 Combine like terms: -7mx + -2mx = -9mx 6mx + 1 + -1(5 + -9mx + -5mx + 3mx + 12mx) = 0 Combine like terms: -9mx + -5mx = -14mx 6mx + 1 + -1(5 + -14mx + 3mx + 12mx) = 0 Combine like terms: -14mx + 3mx = -11mx 6mx + 1 + -1(5 + -11mx + 12mx) = 0 Combine like terms: -11mx + 12mx = 1mx 6mx + 1 + -1(5 + 1mx) = 0 6mx + 1 + (5 * -1 + 1mx * -1) = 0 6mx + 1 + (-5 + -1mx) = 0 Reorder the terms: 1 + -5 + 6mx + -1mx = 0 Combine like terms: 1 + -5 = -4 -4 + 6mx + -1mx = 0 Combine like terms: 6mx + -1mx = 5mx -4 + 5mx = 0 Solving -4 + 5mx = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5mx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5mx = 0 + 4 5mx = 0 + 4 Combine like terms: 0 + 4 = 4 5mx = 4 Divide each side by '5x'. m = 0.8x-1 Simplifying m = 0.8x-1
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