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Simplifying 5z(x + -6y) + 7(x + -6y) = 0 (x * 5z + -6y * 5z) + 7(x + -6y) = 0 (5xz + -30yz) + 7(x + -6y) = 0 5xz + -30yz + (x * 7 + -6y * 7) = 0 5xz + -30yz + (7x + -42y) = 0 Reorder the terms: 7x + 5xz + -42y + -30yz = 0 Solving 7x + 5xz + -42y + -30yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42y' to each side of the equation. 7x + 5xz + -42y + 42y + -30yz = 0 + 42y Combine like terms: -42y + 42y = 0 7x + 5xz + 0 + -30yz = 0 + 42y 7x + 5xz + -30yz = 0 + 42y Remove the zero: 7x + 5xz + -30yz = 42y Add '30yz' to each side of the equation. 7x + 5xz + -30yz + 30yz = 42y + 30yz Combine like terms: -30yz + 30yz = 0 7x + 5xz + 0 = 42y + 30yz 7x + 5xz = 42y + 30yz Reorder the terms: 7x + 5xz + -42y + -30yz = 42y + -42y + 30yz + -30yz Combine like terms: 42y + -42y = 0 7x + 5xz + -42y + -30yz = 0 + 30yz + -30yz 7x + 5xz + -42y + -30yz = 30yz + -30yz Combine like terms: 30yz + -30yz = 0 7x + 5xz + -42y + -30yz = 0 The solution to this equation could not be determined.
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