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Simplifying (1 + x)(1 + z) = 0 Multiply (1 + x) * (1 + z) (1(1 + z) + x(1 + z)) = 0 ((1 * 1 + z * 1) + x(1 + z)) = 0 ((1 + 1z) + x(1 + z)) = 0 (1 + 1z + (1 * x + z * x)) = 0 (1 + 1z + (1x + xz)) = 0 Reorder the terms: (1 + 1x + xz + 1z) = 0 (1 + 1x + xz + 1z) = 0 Solving 1 + 1x + xz + 1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 1x + xz + -1 + 1z = 0 + -1 Reorder the terms: 1 + -1 + 1x + xz + 1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x + xz + 1z = 0 + -1 1x + xz + 1z = 0 + -1 Combine like terms: 0 + -1 = -1 1x + xz + 1z = -1 Add '-1z' to each side of the equation. 1x + xz + 1z + -1z = -1 + -1z Combine like terms: 1z + -1z = 0 1x + xz + 0 = -1 + -1z 1x + xz = -1 + -1z Reorder the terms: 1 + 1x + xz + z = -1 + -1z + 1 + z Reorder the terms: 1 + 1x + xz + z = -1 + 1 + -1z + z Combine like terms: -1 + 1 = 0 1 + 1x + xz + z = 0 + -1z + z 1 + 1x + xz + z = -1z + z Combine like terms: -1z + z = 0 1 + 1x + xz + z = 0 The solution to this equation could not be determined.
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