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Simplifying (3x2 + 5x + -5) + (4x2 + 3x + 19) + -1(7x2 + -15) = 0 Reorder the terms: (-5 + 5x + 3x2) + (4x2 + 3x + 19) + -1(7x2 + -15) = 0 Remove parenthesis around (-5 + 5x + 3x2) -5 + 5x + 3x2 + (4x2 + 3x + 19) + -1(7x2 + -15) = 0 Reorder the terms: -5 + 5x + 3x2 + (19 + 3x + 4x2) + -1(7x2 + -15) = 0 Remove parenthesis around (19 + 3x + 4x2) -5 + 5x + 3x2 + 19 + 3x + 4x2 + -1(7x2 + -15) = 0 Reorder the terms: -5 + 5x + 3x2 + 19 + 3x + 4x2 + -1(-15 + 7x2) = 0 -5 + 5x + 3x2 + 19 + 3x + 4x2 + (-15 * -1 + 7x2 * -1) = 0 -5 + 5x + 3x2 + 19 + 3x + 4x2 + (15 + -7x2) = 0 Reorder the terms: -5 + 19 + 15 + 5x + 3x + 3x2 + 4x2 + -7x2 = 0 Combine like terms: -5 + 19 = 14 14 + 15 + 5x + 3x + 3x2 + 4x2 + -7x2 = 0 Combine like terms: 14 + 15 = 29 29 + 5x + 3x + 3x2 + 4x2 + -7x2 = 0 Combine like terms: 5x + 3x = 8x 29 + 8x + 3x2 + 4x2 + -7x2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 29 + 8x + 7x2 + -7x2 = 0 Combine like terms: 7x2 + -7x2 = 0 29 + 8x + 0 = 0 29 + 8x = 0 Solving 29 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 8x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 8x = 0 + -29 8x = 0 + -29 Combine like terms: 0 + -29 = -29 8x = -29 Divide each side by '8'. x = -3.625 Simplifying x = -3.625
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