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Simplifying x2 + -2(1 + 3m) + 7(3 + 2m) = 0 x2 + (1 * -2 + 3m * -2) + 7(3 + 2m) = 0 x2 + (-2 + -6m) + 7(3 + 2m) = 0 x2 + -2 + -6m + (3 * 7 + 2m * 7) = 0 x2 + -2 + -6m + (21 + 14m) = 0 Reorder the terms: -2 + 21 + -6m + 14m + x2 = 0 Combine like terms: -2 + 21 = 19 19 + -6m + 14m + x2 = 0 Combine like terms: -6m + 14m = 8m 19 + 8m + x2 = 0 Solving 19 + 8m + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 8m + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + 8m + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8m + x2 = 0 + -19 8m + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 8m + x2 = -19 Add '-1x2' to each side of the equation. 8m + x2 + -1x2 = -19 + -1x2 Combine like terms: x2 + -1x2 = 0 8m + 0 = -19 + -1x2 8m = -19 + -1x2 Divide each side by '8'. m = -2.375 + -0.125x2 Simplifying m = -2.375 + -0.125x2
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