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Simplifying 2mx + 4m + -6 = x2 + 2x + 3 Reorder the terms: -6 + 4m + 2mx = x2 + 2x + 3 Reorder the terms: -6 + 4m + 2mx = 3 + 2x + x2 Solving -6 + 4m + 2mx = 3 + 2x + x2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 4m + 6 + 2mx = 3 + 2x + 6 + x2 Reorder the terms: -6 + 6 + 4m + 2mx = 3 + 2x + 6 + x2 Combine like terms: -6 + 6 = 0 0 + 4m + 2mx = 3 + 2x + 6 + x2 4m + 2mx = 3 + 2x + 6 + x2 Reorder the terms: 4m + 2mx = 3 + 6 + 2x + x2 Combine like terms: 3 + 6 = 9 4m + 2mx = 9 + 2x + x2 Reorder the terms: -9 + 4m + 2mx + -2x + -1x2 = 9 + 2x + x2 + -9 + -2x + -1x2 Reorder the terms: -9 + 4m + 2mx + -2x + -1x2 = 9 + -9 + 2x + -2x + x2 + -1x2 Combine like terms: 9 + -9 = 0 -9 + 4m + 2mx + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2 -9 + 4m + 2mx + -2x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 -9 + 4m + 2mx + -2x + -1x2 = 0 + x2 + -1x2 -9 + 4m + 2mx + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + 4m + 2mx + -2x + -1x2 = 0 The solution to this equation could not be determined.
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