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Simplifying 2x(z + 10) + (z + 10) = 0 Reorder the terms: 2x(10 + z) + (z + 10) = 0 (10 * 2x + z * 2x) + (z + 10) = 0 (20x + 2xz) + (z + 10) = 0 Reorder the terms: 20x + 2xz + (10 + z) = 0 Remove parenthesis around (10 + z) 20x + 2xz + 10 + z = 0 Reorder the terms: 10 + 20x + 2xz + z = 0 Solving 10 + 20x + 2xz + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 20x + 2xz + -10 + z = 0 + -10 Reorder the terms: 10 + -10 + 20x + 2xz + z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 20x + 2xz + z = 0 + -10 20x + 2xz + z = 0 + -10 Combine like terms: 0 + -10 = -10 20x + 2xz + z = -10 Add '-1z' to each side of the equation. 20x + 2xz + z + -1z = -10 + -1z Combine like terms: z + -1z = 0 20x + 2xz + 0 = -10 + -1z 20x + 2xz = -10 + -1z Reorder the terms: 10 + 20x + 2xz + z = -10 + -1z + 10 + z Reorder the terms: 10 + 20x + 2xz + z = -10 + 10 + -1z + z Combine like terms: -10 + 10 = 0 10 + 20x + 2xz + z = 0 + -1z + z 10 + 20x + 2xz + z = -1z + z Combine like terms: -1z + z = 0 10 + 20x + 2xz + z = 0 The solution to this equation could not be determined.
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