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Simplifying (4x2 + 3x + -6) + (3x2 + 2x + 15) + -1(7x2 + -14) = 0 Reorder the terms: (-6 + 3x + 4x2) + (3x2 + 2x + 15) + -1(7x2 + -14) = 0 Remove parenthesis around (-6 + 3x + 4x2) -6 + 3x + 4x2 + (3x2 + 2x + 15) + -1(7x2 + -14) = 0 Reorder the terms: -6 + 3x + 4x2 + (15 + 2x + 3x2) + -1(7x2 + -14) = 0 Remove parenthesis around (15 + 2x + 3x2) -6 + 3x + 4x2 + 15 + 2x + 3x2 + -1(7x2 + -14) = 0 Reorder the terms: -6 + 3x + 4x2 + 15 + 2x + 3x2 + -1(-14 + 7x2) = 0 -6 + 3x + 4x2 + 15 + 2x + 3x2 + (-14 * -1 + 7x2 * -1) = 0 -6 + 3x + 4x2 + 15 + 2x + 3x2 + (14 + -7x2) = 0 Reorder the terms: -6 + 15 + 14 + 3x + 2x + 4x2 + 3x2 + -7x2 = 0 Combine like terms: -6 + 15 = 9 9 + 14 + 3x + 2x + 4x2 + 3x2 + -7x2 = 0 Combine like terms: 9 + 14 = 23 23 + 3x + 2x + 4x2 + 3x2 + -7x2 = 0 Combine like terms: 3x + 2x = 5x 23 + 5x + 4x2 + 3x2 + -7x2 = 0 Combine like terms: 4x2 + 3x2 = 7x2 23 + 5x + 7x2 + -7x2 = 0 Combine like terms: 7x2 + -7x2 = 0 23 + 5x + 0 = 0 23 + 5x = 0 Solving 23 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 0 + -23 5x = 0 + -23 Combine like terms: 0 + -23 = -23 5x = -23 Divide each side by '5'. x = -4.6 Simplifying x = -4.6
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