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Simplifying (x)(x) + -1(x + -4)(x + -4) = 128 Multiply x * x x2 + -1(x + -4)(x + -4) = 128 Reorder the terms: x2 + -1(-4 + x)(x + -4) = 128 Reorder the terms: x2 + -1(-4 + x)(-4 + x) = 128 Multiply (-4 + x) * (-4 + x) x2 + -1(-4(-4 + x) + x(-4 + x)) = 128 x2 + -1((-4 * -4 + x * -4) + x(-4 + x)) = 128 x2 + -1((16 + -4x) + x(-4 + x)) = 128 x2 + -1(16 + -4x + (-4 * x + x * x)) = 128 x2 + -1(16 + -4x + (-4x + x2)) = 128 Combine like terms: -4x + -4x = -8x x2 + -1(16 + -8x + x2) = 128 x2 + (16 * -1 + -8x * -1 + x2 * -1) = 128 x2 + (-16 + 8x + -1x2) = 128 Reorder the terms: -16 + 8x + x2 + -1x2 = 128 Combine like terms: x2 + -1x2 = 0 -16 + 8x + 0 = 128 -16 + 8x = 128 Solving -16 + 8x = 128 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8x = 128 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 128 + 16 8x = 128 + 16 Combine like terms: 128 + 16 = 144 8x = 144 Divide each side by '8'. x = 18 Simplifying x = 18
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