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Simplifying (z + 4)(x + -5) = 10 Reorder the terms: (4 + z)(x + -5) = 10 Reorder the terms: (4 + z)(-5 + x) = 10 Multiply (4 + z) * (-5 + x) (4(-5 + x) + z(-5 + x)) = 10 ((-5 * 4 + x * 4) + z(-5 + x)) = 10 ((-20 + 4x) + z(-5 + x)) = 10 (-20 + 4x + (-5 * z + x * z)) = 10 Reorder the terms: (-20 + 4x + (xz + -5z)) = 10 (-20 + 4x + (xz + -5z)) = 10 (-20 + 4x + xz + -5z) = 10 Solving -20 + 4x + xz + -5z = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 4x + xz + 20 + -5z = 10 + 20 Reorder the terms: -20 + 20 + 4x + xz + -5z = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 4x + xz + -5z = 10 + 20 4x + xz + -5z = 10 + 20 Combine like terms: 10 + 20 = 30 4x + xz + -5z = 30 Add '5z' to each side of the equation. 4x + xz + -5z + 5z = 30 + 5z Combine like terms: -5z + 5z = 0 4x + xz + 0 = 30 + 5z 4x + xz = 30 + 5z Reorder the terms: -30 + 4x + xz + -5z = 30 + 5z + -30 + -5z Reorder the terms: -30 + 4x + xz + -5z = 30 + -30 + 5z + -5z Combine like terms: 30 + -30 = 0 -30 + 4x + xz + -5z = 0 + 5z + -5z -30 + 4x + xz + -5z = 5z + -5z Combine like terms: 5z + -5z = 0 -30 + 4x + xz + -5z = 0 The solution to this equation could not be determined.
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