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Simplifying (m + n) * x + mn = 6x + 5 Reorder the terms for easier multiplication: x(m + n) + mn = 6x + 5 (m * x + n * x) + mn = 6x + 5 (mx + nx) + mn = 6x + 5 Reorder the terms: mn + mx + nx = 6x + 5 Reorder the terms: mn + mx + nx = 5 + 6x Solving mn + mx + nx = 5 + 6x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1nx' to each side of the equation. mn + mx + nx + -1nx = 5 + -1nx + 6x Combine like terms: nx + -1nx = 0 mn + mx + 0 = 5 + -1nx + 6x mn + mx = 5 + -1nx + 6x Reorder the terms: -5 + mn + mx + nx + -6x = 5 + -1nx + 6x + -5 + nx + -6x Reorder the terms: -5 + mn + mx + nx + -6x = 5 + -5 + -1nx + nx + 6x + -6x Combine like terms: 5 + -5 = 0 -5 + mn + mx + nx + -6x = 0 + -1nx + nx + 6x + -6x -5 + mn + mx + nx + -6x = -1nx + nx + 6x + -6x Combine like terms: -1nx + nx = 0 -5 + mn + mx + nx + -6x = 0 + 6x + -6x -5 + mn + mx + nx + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -5 + mn + mx + nx + -6x = 0 The solution to this equation could not be determined.
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