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Simplifying (3x + 7) + (2x2 + -1) + -1(7x2 + -3x) = -5x2 + 6 Reorder the terms: (7 + 3x) + (2x2 + -1) + -1(7x2 + -3x) = -5x2 + 6 Remove parenthesis around (7 + 3x) 7 + 3x + (2x2 + -1) + -1(7x2 + -3x) = -5x2 + 6 Reorder the terms: 7 + 3x + (-1 + 2x2) + -1(7x2 + -3x) = -5x2 + 6 Remove parenthesis around (-1 + 2x2) 7 + 3x + -1 + 2x2 + -1(7x2 + -3x) = -5x2 + 6 Reorder the terms: 7 + 3x + -1 + 2x2 + -1(-3x + 7x2) = -5x2 + 6 7 + 3x + -1 + 2x2 + (-3x * -1 + 7x2 * -1) = -5x2 + 6 7 + 3x + -1 + 2x2 + (3x + -7x2) = -5x2 + 6 Reorder the terms: 7 + -1 + 3x + 3x + 2x2 + -7x2 = -5x2 + 6 Combine like terms: 7 + -1 = 6 6 + 3x + 3x + 2x2 + -7x2 = -5x2 + 6 Combine like terms: 3x + 3x = 6x 6 + 6x + 2x2 + -7x2 = -5x2 + 6 Combine like terms: 2x2 + -7x2 = -5x2 6 + 6x + -5x2 = -5x2 + 6 Reorder the terms: 6 + 6x + -5x2 = 6 + -5x2 Add '-6' to each side of the equation. 6 + 6x + -6 + -5x2 = 6 + -6 + -5x2 Reorder the terms: 6 + -6 + 6x + -5x2 = 6 + -6 + -5x2 Combine like terms: 6 + -6 = 0 0 + 6x + -5x2 = 6 + -6 + -5x2 6x + -5x2 = 6 + -6 + -5x2 Combine like terms: 6 + -6 = 0 6x + -5x2 = 0 + -5x2 6x + -5x2 = -5x2 Add '5x2' to each side of the equation. 6x + -5x2 + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 6x + 0 = -5x2 + 5x2 6x = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 6x = 0 Solving 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '6'. x = 0 Simplifying x = 0
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