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Simplifying x2 + -1(x + m) + -1(x2 + -2x + -3m) = 0 Reorder the terms: x2 + -1(m + x) + -1(x2 + -2x + -3m) = 0 x2 + (m * -1 + x * -1) + -1(x2 + -2x + -3m) = 0 x2 + (-1m + -1x) + -1(x2 + -2x + -3m) = 0 Reorder the terms: x2 + -1m + -1x + -1(-3m + -2x + x2) = 0 x2 + -1m + -1x + (-3m * -1 + -2x * -1 + x2 * -1) = 0 x2 + -1m + -1x + (3m + 2x + -1x2) = 0 Reorder the terms: -1m + 3m + -1x + 2x + x2 + -1x2 = 0 Combine like terms: -1m + 3m = 2m 2m + -1x + 2x + x2 + -1x2 = 0 Combine like terms: -1x + 2x = 1x 2m + 1x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 2m + 1x + 0 = 0 2m + 1x = 0 Solving 2m + 1x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. 2m + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 2m + 0 = 0 + -1x 2m = 0 + -1x Remove the zero: 2m = -1x Divide each side by '2'. m = -0.5x Simplifying m = -0.5x
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