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Simplifying (4x2 + 3x + -3) + (4x2 + 7x + 15) + -1(8x2 + -18) = 0 Reorder the terms: (-3 + 3x + 4x2) + (4x2 + 7x + 15) + -1(8x2 + -18) = 0 Remove parenthesis around (-3 + 3x + 4x2) -3 + 3x + 4x2 + (4x2 + 7x + 15) + -1(8x2 + -18) = 0 Reorder the terms: -3 + 3x + 4x2 + (15 + 7x + 4x2) + -1(8x2 + -18) = 0 Remove parenthesis around (15 + 7x + 4x2) -3 + 3x + 4x2 + 15 + 7x + 4x2 + -1(8x2 + -18) = 0 Reorder the terms: -3 + 3x + 4x2 + 15 + 7x + 4x2 + -1(-18 + 8x2) = 0 -3 + 3x + 4x2 + 15 + 7x + 4x2 + (-18 * -1 + 8x2 * -1) = 0 -3 + 3x + 4x2 + 15 + 7x + 4x2 + (18 + -8x2) = 0 Reorder the terms: -3 + 15 + 18 + 3x + 7x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: -3 + 15 = 12 12 + 18 + 3x + 7x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: 12 + 18 = 30 30 + 3x + 7x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: 3x + 7x = 10x 30 + 10x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: 4x2 + 4x2 = 8x2 30 + 10x + 8x2 + -8x2 = 0 Combine like terms: 8x2 + -8x2 = 0 30 + 10x + 0 = 0 30 + 10x = 0 Solving 30 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 10x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 0 + -30 10x = 0 + -30 Combine like terms: 0 + -30 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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