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