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Simplifying (7x3 + -3x2 + 7x + -2) + (-5x3 + 6x2 + -3X + 9) = 0 Reorder the terms: (-2 + 7x + -3x2 + 7x3) + (-5x3 + 6x2 + -3X + 9) = 0 Remove parenthesis around (-2 + 7x + -3x2 + 7x3) -2 + 7x + -3x2 + 7x3 + (-5x3 + 6x2 + -3X + 9) = 0 Reorder the terms: -2 + 7x + -3x2 + 7x3 + (9 + -3X + 6x2 + -5x3) = 0 Remove parenthesis around (9 + -3X + 6x2 + -5x3) -2 + 7x + -3x2 + 7x3 + 9 + -3X + 6x2 + -5x3 = 0 Reorder the terms: -2 + 9 + -3X + 7x + -3x2 + 6x2 + 7x3 + -5x3 = 0 Combine like terms: -2 + 9 = 7 7 + -3X + 7x + -3x2 + 6x2 + 7x3 + -5x3 = 0 Combine like terms: -3x2 + 6x2 = 3x2 7 + -3X + 7x + 3x2 + 7x3 + -5x3 = 0 Combine like terms: 7x3 + -5x3 = 2x3 7 + -3X + 7x + 3x2 + 2x3 = 0 Solving 7 + -3X + 7x + 3x2 + 2x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3X + 7x + 3x2 + -7 + 2x3 = 0 + -7 Reorder the terms: 7 + -7 + -3X + 7x + 3x2 + 2x3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3X + 7x + 3x2 + 2x3 = 0 + -7 -3X + 7x + 3x2 + 2x3 = 0 + -7 Combine like terms: 0 + -7 = -7 -3X + 7x + 3x2 + 2x3 = -7 Add '-7x' to each side of the equation. -3X + 7x + 3x2 + -7x + 2x3 = -7 + -7x Reorder the terms: -3X + 7x + -7x + 3x2 + 2x3 = -7 + -7x Combine like terms: 7x + -7x = 0 -3X + 0 + 3x2 + 2x3 = -7 + -7x -3X + 3x2 + 2x3 = -7 + -7x Add '-3x2' to each side of the equation. -3X + 3x2 + -3x2 + 2x3 = -7 + -7x + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3X + 0 + 2x3 = -7 + -7x + -3x2 -3X + 2x3 = -7 + -7x + -3x2 Add '-2x3' to each side of the equation. -3X + 2x3 + -2x3 = -7 + -7x + -3x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -3X + 0 = -7 + -7x + -3x2 + -2x3 -3X = -7 + -7x + -3x2 + -2x3 Divide each side by '-3'. X = 2.333333333 + 2.333333333x + x2 + 0.6666666667x3 Simplifying X = 2.333333333 + 2.333333333x + x2 + 0.6666666667x3
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