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Simplifying 7x2 + (m + n + -5x) + (m + -1n + 7) = 0 Remove parenthesis around (m + n + -5x) 7x2 + m + n + -5x + (m + -1n + 7) = 0 Reorder the terms: 7x2 + m + n + -5x + (7 + m + -1n) = 0 Remove parenthesis around (7 + m + -1n) 7x2 + m + n + -5x + 7 + m + -1n = 0 Reorder the terms: 7 + m + m + n + -1n + -5x + 7x2 = 0 Combine like terms: m + m = 2m 7 + 2m + n + -1n + -5x + 7x2 = 0 Combine like terms: n + -1n = 0 7 + 2m + 0 + -5x + 7x2 = 0 7 + 2m + -5x + 7x2 = 0 Solving 7 + 2m + -5x + 7x2 = 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 + -5x + -7 + 7x2 = 0 + -7 Reorder the terms: 7 + -7 + 2m + -5x + 7x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2m + -5x + 7x2 = 0 + -7 2m + -5x + 7x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2m + -5x + 7x2 = -7 Add '5x' to each side of the equation. 2m + -5x + 5x + 7x2 = -7 + 5x Combine like terms: -5x + 5x = 0 2m + 0 + 7x2 = -7 + 5x 2m + 7x2 = -7 + 5x Add '-7x2' to each side of the equation. 2m + 7x2 + -7x2 = -7 + 5x + -7x2 Combine like terms: 7x2 + -7x2 = 0 2m + 0 = -7 + 5x + -7x2 2m = -7 + 5x + -7x2 Divide each side by '2'. m = -3.5 + 2.5x + -3.5x2 Simplifying m = -3.5 + 2.5x + -3.5x2
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