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Simplifying (5x2 + 3x + -2) + (2x2 + 5x + 19) + -1(7x2 + -10) = 0 Reorder the terms: (-2 + 3x + 5x2) + (2x2 + 5x + 19) + -1(7x2 + -10) = 0 Remove parenthesis around (-2 + 3x + 5x2) -2 + 3x + 5x2 + (2x2 + 5x + 19) + -1(7x2 + -10) = 0 Reorder the terms: -2 + 3x + 5x2 + (19 + 5x + 2x2) + -1(7x2 + -10) = 0 Remove parenthesis around (19 + 5x + 2x2) -2 + 3x + 5x2 + 19 + 5x + 2x2 + -1(7x2 + -10) = 0 Reorder the terms: -2 + 3x + 5x2 + 19 + 5x + 2x2 + -1(-10 + 7x2) = 0 -2 + 3x + 5x2 + 19 + 5x + 2x2 + (-10 * -1 + 7x2 * -1) = 0 -2 + 3x + 5x2 + 19 + 5x + 2x2 + (10 + -7x2) = 0 Reorder the terms: -2 + 19 + 10 + 3x + 5x + 5x2 + 2x2 + -7x2 = 0 Combine like terms: -2 + 19 = 17 17 + 10 + 3x + 5x + 5x2 + 2x2 + -7x2 = 0 Combine like terms: 17 + 10 = 27 27 + 3x + 5x + 5x2 + 2x2 + -7x2 = 0 Combine like terms: 3x + 5x = 8x 27 + 8x + 5x2 + 2x2 + -7x2 = 0 Combine like terms: 5x2 + 2x2 = 7x2 27 + 8x + 7x2 + -7x2 = 0 Combine like terms: 7x2 + -7x2 = 0 27 + 8x + 0 = 0 27 + 8x = 0 Solving 27 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 8x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 0 + -27 8x = 0 + -27 Combine like terms: 0 + -27 = -27 8x = -27 Divide each side by '8'. x = -3.375 Simplifying x = -3.375
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