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Simplifying 6x(z + 11) + (z + 11) = 0 Reorder the terms: 6x(11 + z) + (z + 11) = 0 (11 * 6x + z * 6x) + (z + 11) = 0 (66x + 6xz) + (z + 11) = 0 Reorder the terms: 66x + 6xz + (11 + z) = 0 Remove parenthesis around (11 + z) 66x + 6xz + 11 + z = 0 Reorder the terms: 11 + 66x + 6xz + z = 0 Solving 11 + 66x + 6xz + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 66x + 6xz + -11 + z = 0 + -11 Reorder the terms: 11 + -11 + 66x + 6xz + z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 66x + 6xz + z = 0 + -11 66x + 6xz + z = 0 + -11 Combine like terms: 0 + -11 = -11 66x + 6xz + z = -11 Add '-1z' to each side of the equation. 66x + 6xz + z + -1z = -11 + -1z Combine like terms: z + -1z = 0 66x + 6xz + 0 = -11 + -1z 66x + 6xz = -11 + -1z Reorder the terms: 11 + 66x + 6xz + z = -11 + -1z + 11 + z Reorder the terms: 11 + 66x + 6xz + z = -11 + 11 + -1z + z Combine like terms: -11 + 11 = 0 11 + 66x + 6xz + z = 0 + -1z + z 11 + 66x + 6xz + z = -1z + z Combine like terms: -1z + z = 0 11 + 66x + 6xz + z = 0 The solution to this equation could not be determined.
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