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Simplifying x3 + 3mx3 + 2(6m + -7) * x + 10m + -6 = 0 Reorder the terms: x3 + 3mx3 + 2(-7 + 6m) * x + 10m + -6 = 0 Reorder the terms for easier multiplication: x3 + 3mx3 + 2x(-7 + 6m) + 10m + -6 = 0 x3 + 3mx3 + (-7 * 2x + 6m * 2x) + 10m + -6 = 0 Reorder the terms: x3 + 3mx3 + (12mx + -14x) + 10m + -6 = 0 x3 + 3mx3 + (12mx + -14x) + 10m + -6 = 0 Reorder the terms: -6 + 10m + 12mx + 3mx3 + -14x + x3 = 0 Solving -6 + 10m + 12mx + 3mx3 + -14x + x3 = 0 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 + 10m + 12mx + 3mx3 + -14x + 6 + x3 = 0 + 6 Reorder the terms: -6 + 6 + 10m + 12mx + 3mx3 + -14x + x3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 10m + 12mx + 3mx3 + -14x + x3 = 0 + 6 10m + 12mx + 3mx3 + -14x + x3 = 0 + 6 Combine like terms: 0 + 6 = 6 10m + 12mx + 3mx3 + -14x + x3 = 6 Add '14x' to each side of the equation. 10m + 12mx + 3mx3 + -14x + 14x + x3 = 6 + 14x Combine like terms: -14x + 14x = 0 10m + 12mx + 3mx3 + 0 + x3 = 6 + 14x 10m + 12mx + 3mx3 + x3 = 6 + 14x Add '-1x3' to each side of the equation. 10m + 12mx + 3mx3 + x3 + -1x3 = 6 + 14x + -1x3 Combine like terms: x3 + -1x3 = 0 10m + 12mx + 3mx3 + 0 = 6 + 14x + -1x3 10m + 12mx + 3mx3 = 6 + 14x + -1x3 Reorder the terms: -6 + 10m + 12mx + 3mx3 + -14x + x3 = 6 + 14x + -1x3 + -6 + -14x + x3 Reorder the terms: -6 + 10m + 12mx + 3mx3 + -14x + x3 = 6 + -6 + 14x + -14x + -1x3 + x3 Combine like terms: 6 + -6 = 0 -6 + 10m + 12mx + 3mx3 + -14x + x3 = 0 + 14x + -14x + -1x3 + x3 -6 + 10m + 12mx + 3mx3 + -14x + x3 = 14x + -14x + -1x3 + x3 Combine like terms: 14x + -14x = 0 -6 + 10m + 12mx + 3mx3 + -14x + x3 = 0 + -1x3 + x3 -6 + 10m + 12mx + 3mx3 + -14x + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -6 + 10m + 12mx + 3mx3 + -14x + x3 = 0 The solution to this equation could not be determined.
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