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Simplifying (6x + 7) + x(8x + -3) + 7x + 2m + 8x = 0 Reorder the terms: (7 + 6x) + x(8x + -3) + 7x + 2m + 8x = 0 Remove parenthesis around (7 + 6x) 7 + 6x + x(8x + -3) + 7x + 2m + 8x = 0 Reorder the terms: 7 + 6x + x(-3 + 8x) + 7x + 2m + 8x = 0 7 + 6x + (-3 * x + 8x * x) + 7x + 2m + 8x = 0 7 + 6x + (-3x + 8x2) + 7x + 2m + 8x = 0 Reorder the terms: 7 + 2m + 6x + -3x + 7x + 8x + 8x2 = 0 Combine like terms: 6x + -3x = 3x 7 + 2m + 3x + 7x + 8x + 8x2 = 0 Combine like terms: 3x + 7x = 10x 7 + 2m + 10x + 8x + 8x2 = 0 Combine like terms: 10x + 8x = 18x 7 + 2m + 18x + 8x2 = 0 Solving 7 + 2m + 18x + 8x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2m + 18x + -7 + 8x2 = 0 + -7 Reorder the terms: 7 + -7 + 2m + 18x + 8x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2m + 18x + 8x2 = 0 + -7 2m + 18x + 8x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2m + 18x + 8x2 = -7 Add '-18x' to each side of the equation. 2m + 18x + -18x + 8x2 = -7 + -18x Combine like terms: 18x + -18x = 0 2m + 0 + 8x2 = -7 + -18x 2m + 8x2 = -7 + -18x Add '-8x2' to each side of the equation. 2m + 8x2 + -8x2 = -7 + -18x + -8x2 Combine like terms: 8x2 + -8x2 = 0 2m + 0 = -7 + -18x + -8x2 2m = -7 + -18x + -8x2 Divide each side by '2'. m = -3.5 + -9x + -4x2 Simplifying m = -3.5 + -9x + -4x2
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