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Simplifying 8x(x + -4) = 2(4x + -1)(x + -5) Reorder the terms: 8x(-4 + x) = 2(4x + -1)(x + -5) (-4 * 8x + x * 8x) = 2(4x + -1)(x + -5) (-32x + 8x2) = 2(4x + -1)(x + -5) Reorder the terms: -32x + 8x2 = 2(-1 + 4x)(x + -5) Reorder the terms: -32x + 8x2 = 2(-1 + 4x)(-5 + x) Multiply (-1 + 4x) * (-5 + x) -32x + 8x2 = 2(-1(-5 + x) + 4x * (-5 + x)) -32x + 8x2 = 2((-5 * -1 + x * -1) + 4x * (-5 + x)) -32x + 8x2 = 2((5 + -1x) + 4x * (-5 + x)) -32x + 8x2 = 2(5 + -1x + (-5 * 4x + x * 4x)) -32x + 8x2 = 2(5 + -1x + (-20x + 4x2)) Combine like terms: -1x + -20x = -21x -32x + 8x2 = 2(5 + -21x + 4x2) -32x + 8x2 = (5 * 2 + -21x * 2 + 4x2 * 2) -32x + 8x2 = (10 + -42x + 8x2) Add '-8x2' to each side of the equation. -32x + 8x2 + -8x2 = 10 + -42x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -32x + 0 = 10 + -42x + 8x2 + -8x2 -32x = 10 + -42x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -32x = 10 + -42x + 0 -32x = 10 + -42x Solving -32x = 10 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -32x + 42x = 10 + -42x + 42x Combine like terms: -32x + 42x = 10x 10x = 10 + -42x + 42x Combine like terms: -42x + 42x = 0 10x = 10 + 0 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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