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Simplifying (3x2 + 2x + -7) + (2x2 + 8x + 15) + -1(5x2 + -13) = 0 Reorder the terms: (-7 + 2x + 3x2) + (2x2 + 8x + 15) + -1(5x2 + -13) = 0 Remove parenthesis around (-7 + 2x + 3x2) -7 + 2x + 3x2 + (2x2 + 8x + 15) + -1(5x2 + -13) = 0 Reorder the terms: -7 + 2x + 3x2 + (15 + 8x + 2x2) + -1(5x2 + -13) = 0 Remove parenthesis around (15 + 8x + 2x2) -7 + 2x + 3x2 + 15 + 8x + 2x2 + -1(5x2 + -13) = 0 Reorder the terms: -7 + 2x + 3x2 + 15 + 8x + 2x2 + -1(-13 + 5x2) = 0 -7 + 2x + 3x2 + 15 + 8x + 2x2 + (-13 * -1 + 5x2 * -1) = 0 -7 + 2x + 3x2 + 15 + 8x + 2x2 + (13 + -5x2) = 0 Reorder the terms: -7 + 15 + 13 + 2x + 8x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: -7 + 15 = 8 8 + 13 + 2x + 8x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: 8 + 13 = 21 21 + 2x + 8x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: 2x + 8x = 10x 21 + 10x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: 3x2 + 2x2 = 5x2 21 + 10x + 5x2 + -5x2 = 0 Combine like terms: 5x2 + -5x2 = 0 21 + 10x + 0 = 0 21 + 10x = 0 Solving 21 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 10x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = 0 + -21 10x = 0 + -21 Combine like terms: 0 + -21 = -21 10x = -21 Divide each side by '10'. x = -2.1 Simplifying x = -2.1
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