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Simplifying 3y + -15x + 21x = a(y + -5xy + 7x) Reorder the terms: -15x + 21x + 3y = a(y + -5xy + 7x) Combine like terms: -15x + 21x = 6x 6x + 3y = a(y + -5xy + 7x) Reorder the terms: 6x + 3y = a(7x + -5xy + y) 6x + 3y = (7x * a + -5xy * a + y * a) 6x + 3y = (7ax + -5axy + ay) Solving 6x + 3y = 7ax + -5axy + ay Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7ax' to each side of the equation. 6x + -7ax + 3y = 7ax + -5axy + -7ax + ay Reorder the terms: -7ax + 6x + 3y = 7ax + -5axy + -7ax + ay Reorder the terms: -7ax + 6x + 3y = 7ax + -7ax + -5axy + ay Combine like terms: 7ax + -7ax = 0 -7ax + 6x + 3y = 0 + -5axy + ay -7ax + 6x + 3y = -5axy + ay Add '5axy' to each side of the equation. -7ax + 6x + 5axy + 3y = -5axy + 5axy + ay Reorder the terms: -7ax + 5axy + 6x + 3y = -5axy + 5axy + ay Combine like terms: -5axy + 5axy = 0 -7ax + 5axy + 6x + 3y = 0 + ay -7ax + 5axy + 6x + 3y = ay Add '-3y' to each side of the equation. -7ax + 5axy + 6x + 3y + -3y = ay + -3y Combine like terms: 3y + -3y = 0 -7ax + 5axy + 6x + 0 = ay + -3y -7ax + 5axy + 6x = ay + -3y Reorder the terms: -7ax + 5axy + -1ay + 6x + 3y = ay + -3y + -1ay + 3y Reorder the terms: -7ax + 5axy + -1ay + 6x + 3y = ay + -1ay + -3y + 3y Combine like terms: ay + -1ay = 0 -7ax + 5axy + -1ay + 6x + 3y = 0 + -3y + 3y -7ax + 5axy + -1ay + 6x + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -7ax + 5axy + -1ay + 6x + 3y = 0 The solution to this equation could not be determined.
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