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Simplifying 5x(z + 4) + (z + 4) = 0 Reorder the terms: 5x(4 + z) + (z + 4) = 0 (4 * 5x + z * 5x) + (z + 4) = 0 (20x + 5xz) + (z + 4) = 0 Reorder the terms: 20x + 5xz + (4 + z) = 0 Remove parenthesis around (4 + z) 20x + 5xz + 4 + z = 0 Reorder the terms: 4 + 20x + 5xz + z = 0 Solving 4 + 20x + 5xz + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 20x + 5xz + -4 + z = 0 + -4 Reorder the terms: 4 + -4 + 20x + 5xz + z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 20x + 5xz + z = 0 + -4 20x + 5xz + z = 0 + -4 Combine like terms: 0 + -4 = -4 20x + 5xz + z = -4 Add '-1z' to each side of the equation. 20x + 5xz + z + -1z = -4 + -1z Combine like terms: z + -1z = 0 20x + 5xz + 0 = -4 + -1z 20x + 5xz = -4 + -1z Reorder the terms: 4 + 20x + 5xz + z = -4 + -1z + 4 + z Reorder the terms: 4 + 20x + 5xz + z = -4 + 4 + -1z + z Combine like terms: -4 + 4 = 0 4 + 20x + 5xz + z = 0 + -1z + z 4 + 20x + 5xz + z = -1z + z Combine like terms: -1z + z = 0 4 + 20x + 5xz + z = 0 The solution to this equation could not be determined.
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