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Simplifying (x * 5) + (y * 3) + ((x + y) * z) = 1 Reorder the terms for easier multiplication: (5x) + (y * 3) + ((x + y) * z) = 1 Reorder the terms for easier multiplication: (5x) + (3y) + ((x + y) * z) = 1 Reorder the terms for easier multiplication: (5x) + (3y) + (z(x + y)) = 1 (5x) + (3y) + ((x * z + y * z)) = 1 (5x) + (3y) + ((xz + yz)) = 1 (5x) + (3y) + (xz + yz) = 1 Remove parenthesis around (xz + yz) (5x) + (3y) + xz + yz = 1 Reorder the terms: (5x) + xz + (3y) + yz = 1 Solving (5x) + xz + (3y) + yz = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-3y)' to each side of the equation. (5x) + xz + (3y) + (-3y) + yz = 1 + (-3y) Combine like terms: (3y) + (-3y) = 0 (5x) + xz + 0 + yz = 1 + (-3y) (5x) + xz + yz = 1 + (-3y) Add '-1yz' to each side of the equation. (5x) + xz + yz + -1yz = 1 + (-3y) + -1yz Combine like terms: yz + -1yz = 0 (5x) + xz + 0 = 1 + (-3y) + -1yz (5x) + xz = 1 + (-3y) + -1yz Reorder the terms: -1 + (5x) + xz + (3y) + yz = 1 + (-3y) + -1yz + -1 + (3y) + yz Reorder the terms: -1 + (5x) + xz + (3y) + yz = 1 + -1 + (-3y) + (3y) + -1yz + yz Combine like terms: 1 + -1 = 0 -1 + (5x) + xz + (3y) + yz = 0 + (-3y) + (3y) + -1yz + yz -1 + (5x) + xz + (3y) + yz = (-3y) + (3y) + -1yz + yz Combine like terms: (-3y) + (3y) = 0 -1 + (5x) + xz + (3y) + yz = 0 + -1yz + yz -1 + (5x) + xz + (3y) + yz = -1yz + yz Combine like terms: -1yz + yz = 0 -1 + (5x) + xz + (3y) + yz = 0 The solution to this equation could not be determined.
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