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Simplifying (2x2 + 2x + -8) + (2x2 + 2x + 11) + -1(4x2 + -16) = 0 Reorder the terms: (-8 + 2x + 2x2) + (2x2 + 2x + 11) + -1(4x2 + -16) = 0 Remove parenthesis around (-8 + 2x + 2x2) -8 + 2x + 2x2 + (2x2 + 2x + 11) + -1(4x2 + -16) = 0 Reorder the terms: -8 + 2x + 2x2 + (11 + 2x + 2x2) + -1(4x2 + -16) = 0 Remove parenthesis around (11 + 2x + 2x2) -8 + 2x + 2x2 + 11 + 2x + 2x2 + -1(4x2 + -16) = 0 Reorder the terms: -8 + 2x + 2x2 + 11 + 2x + 2x2 + -1(-16 + 4x2) = 0 -8 + 2x + 2x2 + 11 + 2x + 2x2 + (-16 * -1 + 4x2 * -1) = 0 -8 + 2x + 2x2 + 11 + 2x + 2x2 + (16 + -4x2) = 0 Reorder the terms: -8 + 11 + 16 + 2x + 2x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: -8 + 11 = 3 3 + 16 + 2x + 2x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 3 + 16 = 19 19 + 2x + 2x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 2x + 2x = 4x 19 + 4x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 2x2 + 2x2 = 4x2 19 + 4x + 4x2 + -4x2 = 0 Combine like terms: 4x2 + -4x2 = 0 19 + 4x + 0 = 0 19 + 4x = 0 Solving 19 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 0 + -19 4x = 0 + -19 Combine like terms: 0 + -19 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75
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