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Simplifying 4x(z + 9) + (z + 9) = 0 Reorder the terms: 4x(9 + z) + (z + 9) = 0 (9 * 4x + z * 4x) + (z + 9) = 0 (36x + 4xz) + (z + 9) = 0 Reorder the terms: 36x + 4xz + (9 + z) = 0 Remove parenthesis around (9 + z) 36x + 4xz + 9 + z = 0 Reorder the terms: 9 + 36x + 4xz + z = 0 Solving 9 + 36x + 4xz + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 36x + 4xz + -9 + z = 0 + -9 Reorder the terms: 9 + -9 + 36x + 4xz + z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 36x + 4xz + z = 0 + -9 36x + 4xz + z = 0 + -9 Combine like terms: 0 + -9 = -9 36x + 4xz + z = -9 Add '-1z' to each side of the equation. 36x + 4xz + z + -1z = -9 + -1z Combine like terms: z + -1z = 0 36x + 4xz + 0 = -9 + -1z 36x + 4xz = -9 + -1z Reorder the terms: 9 + 36x + 4xz + z = -9 + -1z + 9 + z Reorder the terms: 9 + 36x + 4xz + z = -9 + 9 + -1z + z Combine like terms: -9 + 9 = 0 9 + 36x + 4xz + z = 0 + -1z + z 9 + 36x + 4xz + z = -1z + z Combine like terms: -1z + z = 0 9 + 36x + 4xz + z = 0 The solution to this equation could not be determined.
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