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Simplifying (1 + -2m) * x = m(3 + x) Reorder the terms for easier multiplication: x(1 + -2m) = m(3 + x) (1 * x + -2m * x) = m(3 + x) Reorder the terms: (-2mx + 1x) = m(3 + x) (-2mx + 1x) = m(3 + x) -2mx + 1x = (3 * m + x * m) -2mx + 1x = (3m + mx) Solving -2mx + 1x = 3m + mx Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -2mx + -3m + 1x = 3m + -3m + mx Reorder the terms: -3m + -2mx + 1x = 3m + -3m + mx Combine like terms: 3m + -3m = 0 -3m + -2mx + 1x = 0 + mx -3m + -2mx + 1x = mx Add '-1mx' to each side of the equation. -3m + -2mx + -1mx + 1x = mx + -1mx Combine like terms: -2mx + -1mx = -3mx -3m + -3mx + 1x = mx + -1mx Combine like terms: mx + -1mx = 0 -3m + -3mx + 1x = 0 Add '-1x' to each side of the equation. -3m + -3mx + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 -3m + -3mx + 0 = 0 + -1x -3m + -3mx = 0 + -1x Remove the zero: -3m + -3mx = -1x Combine like terms: -1x + x = 0 -3m + -3mx + x = 0 The solution to this equation could not be determined.
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