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Simplifying (-8x + 4)(-16x + 2) + -1(2x + -2)(64x + -5) = -5 + 6 Reorder the terms: (4 + -8x)(-16x + 2) + -1(2x + -2)(64x + -5) = -5 + 6 Reorder the terms: (4 + -8x)(2 + -16x) + -1(2x + -2)(64x + -5) = -5 + 6 Multiply (4 + -8x) * (2 + -16x) (4(2 + -16x) + -8x * (2 + -16x)) + -1(2x + -2)(64x + -5) = -5 + 6 ((2 * 4 + -16x * 4) + -8x * (2 + -16x)) + -1(2x + -2)(64x + -5) = -5 + 6 ((8 + -64x) + -8x * (2 + -16x)) + -1(2x + -2)(64x + -5) = -5 + 6 (8 + -64x + (2 * -8x + -16x * -8x)) + -1(2x + -2)(64x + -5) = -5 + 6 (8 + -64x + (-16x + 128x2)) + -1(2x + -2)(64x + -5) = -5 + 6 Combine like terms: -64x + -16x = -80x (8 + -80x + 128x2) + -1(2x + -2)(64x + -5) = -5 + 6 Reorder the terms: 8 + -80x + 128x2 + -1(-2 + 2x)(64x + -5) = -5 + 6 Reorder the terms: 8 + -80x + 128x2 + -1(-2 + 2x)(-5 + 64x) = -5 + 6 Multiply (-2 + 2x) * (-5 + 64x) 8 + -80x + 128x2 + -1(-2(-5 + 64x) + 2x * (-5 + 64x)) = -5 + 6 8 + -80x + 128x2 + -1((-5 * -2 + 64x * -2) + 2x * (-5 + 64x)) = -5 + 6 8 + -80x + 128x2 + -1((10 + -128x) + 2x * (-5 + 64x)) = -5 + 6 8 + -80x + 128x2 + -1(10 + -128x + (-5 * 2x + 64x * 2x)) = -5 + 6 8 + -80x + 128x2 + -1(10 + -128x + (-10x + 128x2)) = -5 + 6 Combine like terms: -128x + -10x = -138x 8 + -80x + 128x2 + -1(10 + -138x + 128x2) = -5 + 6 8 + -80x + 128x2 + (10 * -1 + -138x * -1 + 128x2 * -1) = -5 + 6 8 + -80x + 128x2 + (-10 + 138x + -128x2) = -5 + 6 Reorder the terms: 8 + -10 + -80x + 138x + 128x2 + -128x2 = -5 + 6 Combine like terms: 8 + -10 = -2 -2 + -80x + 138x + 128x2 + -128x2 = -5 + 6 Combine like terms: -80x + 138x = 58x -2 + 58x + 128x2 + -128x2 = -5 + 6 Combine like terms: 128x2 + -128x2 = 0 -2 + 58x + 0 = -5 + 6 -2 + 58x = -5 + 6 Combine like terms: -5 + 6 = 1 -2 + 58x = 1 Solving -2 + 58x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 58x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 58x = 1 + 2 58x = 1 + 2 Combine like terms: 1 + 2 = 3 58x = 3 Divide each side by '58'. x = 0.05172413793 Simplifying x = 0.05172413793
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