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Simplifying (x + -4)(x + -4) + (y + -8)(y + -8) = 16 Reorder the terms: (-4 + x)(x + -4) + (y + -8)(y + -8) = 16 Reorder the terms: (-4 + x)(-4 + x) + (y + -8)(y + -8) = 16 Multiply (-4 + x) * (-4 + x) (-4(-4 + x) + x(-4 + x)) + (y + -8)(y + -8) = 16 ((-4 * -4 + x * -4) + x(-4 + x)) + (y + -8)(y + -8) = 16 ((16 + -4x) + x(-4 + x)) + (y + -8)(y + -8) = 16 (16 + -4x + (-4 * x + x * x)) + (y + -8)(y + -8) = 16 (16 + -4x + (-4x + x2)) + (y + -8)(y + -8) = 16 Combine like terms: -4x + -4x = -8x (16 + -8x + x2) + (y + -8)(y + -8) = 16 Reorder the terms: 16 + -8x + x2 + (-8 + y)(y + -8) = 16 Reorder the terms: 16 + -8x + x2 + (-8 + y)(-8 + y) = 16 Multiply (-8 + y) * (-8 + y) 16 + -8x + x2 + (-8(-8 + y) + y(-8 + y)) = 16 16 + -8x + x2 + ((-8 * -8 + y * -8) + y(-8 + y)) = 16 16 + -8x + x2 + ((64 + -8y) + y(-8 + y)) = 16 16 + -8x + x2 + (64 + -8y + (-8 * y + y * y)) = 16 16 + -8x + x2 + (64 + -8y + (-8y + y2)) = 16 Combine like terms: -8y + -8y = -16y 16 + -8x + x2 + (64 + -16y + y2) = 16 Reorder the terms: 16 + 64 + -8x + x2 + -16y + y2 = 16 Combine like terms: 16 + 64 = 80 80 + -8x + x2 + -16y + y2 = 16 Solving 80 + -8x + x2 + -16y + y2 = 16 Solving for variable 'x'. Reorder the terms: 80 + -16 + -8x + x2 + -16y + y2 = 16 + -16 Combine like terms: 80 + -16 = 64 64 + -8x + x2 + -16y + y2 = 16 + -16 Combine like terms: 16 + -16 = 0 64 + -8x + x2 + -16y + y2 = 0 The solution to this equation could not be determined.
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