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Simplifying 6x(z + 3) + (z + 3) = 0 Reorder the terms: 6x(3 + z) + (z + 3) = 0 (3 * 6x + z * 6x) + (z + 3) = 0 (18x + 6xz) + (z + 3) = 0 Reorder the terms: 18x + 6xz + (3 + z) = 0 Remove parenthesis around (3 + z) 18x + 6xz + 3 + z = 0 Reorder the terms: 3 + 18x + 6xz + z = 0 Solving 3 + 18x + 6xz + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 18x + 6xz + -3 + z = 0 + -3 Reorder the terms: 3 + -3 + 18x + 6xz + z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 18x + 6xz + z = 0 + -3 18x + 6xz + z = 0 + -3 Combine like terms: 0 + -3 = -3 18x + 6xz + z = -3 Add '-1z' to each side of the equation. 18x + 6xz + z + -1z = -3 + -1z Combine like terms: z + -1z = 0 18x + 6xz + 0 = -3 + -1z 18x + 6xz = -3 + -1z Reorder the terms: 3 + 18x + 6xz + z = -3 + -1z + 3 + z Reorder the terms: 3 + 18x + 6xz + z = -3 + 3 + -1z + z Combine like terms: -3 + 3 = 0 3 + 18x + 6xz + z = 0 + -1z + z 3 + 18x + 6xz + z = -1z + z Combine like terms: -1z + z = 0 3 + 18x + 6xz + z = 0 The solution to this equation could not be determined.
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