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Simplifying (7x2 + -11x + -1) + -1(3x2 + 4) = 4x2 + 16 Reorder the terms: (-1 + -11x + 7x2) + -1(3x2 + 4) = 4x2 + 16 Remove parenthesis around (-1 + -11x + 7x2) -1 + -11x + 7x2 + -1(3x2 + 4) = 4x2 + 16 Reorder the terms: -1 + -11x + 7x2 + -1(4 + 3x2) = 4x2 + 16 -1 + -11x + 7x2 + (4 * -1 + 3x2 * -1) = 4x2 + 16 -1 + -11x + 7x2 + (-4 + -3x2) = 4x2 + 16 Reorder the terms: -1 + -4 + -11x + 7x2 + -3x2 = 4x2 + 16 Combine like terms: -1 + -4 = -5 -5 + -11x + 7x2 + -3x2 = 4x2 + 16 Combine like terms: 7x2 + -3x2 = 4x2 -5 + -11x + 4x2 = 4x2 + 16 Reorder the terms: -5 + -11x + 4x2 = 16 + 4x2 Add '-4x2' to each side of the equation. -5 + -11x + 4x2 + -4x2 = 16 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -5 + -11x + 0 = 16 + 4x2 + -4x2 -5 + -11x = 16 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -5 + -11x = 16 + 0 -5 + -11x = 16 Solving -5 + -11x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -11x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 16 + 5 -11x = 16 + 5 Combine like terms: 16 + 5 = 21 -11x = 21 Divide each side by '-11'. x = -1.909090909 Simplifying x = -1.909090909
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