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Simplifying 5x(z + 13) + (z + 13) = 0 Reorder the terms: 5x(13 + z) + (z + 13) = 0 (13 * 5x + z * 5x) + (z + 13) = 0 (65x + 5xz) + (z + 13) = 0 Reorder the terms: 65x + 5xz + (13 + z) = 0 Remove parenthesis around (13 + z) 65x + 5xz + 13 + z = 0 Reorder the terms: 13 + 65x + 5xz + z = 0 Solving 13 + 65x + 5xz + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 65x + 5xz + -13 + z = 0 + -13 Reorder the terms: 13 + -13 + 65x + 5xz + z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 65x + 5xz + z = 0 + -13 65x + 5xz + z = 0 + -13 Combine like terms: 0 + -13 = -13 65x + 5xz + z = -13 Add '-1z' to each side of the equation. 65x + 5xz + z + -1z = -13 + -1z Combine like terms: z + -1z = 0 65x + 5xz + 0 = -13 + -1z 65x + 5xz = -13 + -1z Reorder the terms: 13 + 65x + 5xz + z = -13 + -1z + 13 + z Reorder the terms: 13 + 65x + 5xz + z = -13 + 13 + -1z + z Combine like terms: -13 + 13 = 0 13 + 65x + 5xz + z = 0 + -1z + z 13 + 65x + 5xz + z = -1z + z Combine like terms: -1z + z = 0 13 + 65x + 5xz + z = 0 The solution to this equation could not be determined.
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