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Simplifying 3x[4y + -3(y + 5)] + 19 = 2(y + -23) Reorder the terms: 3x[4y + -3(5 + y)] + 19 = 2(y + -23) 3x[4y + (5 * -3 + y * -3)] + 19 = 2(y + -23) 3x[4y + (-15 + -3y)] + 19 = 2(y + -23) Reorder the terms: 3x[-15 + 4y + -3y] + 19 = 2(y + -23) Combine like terms: 4y + -3y = 1y 3x[-15 + 1y] + 19 = 2(y + -23) [-15 * 3x + 1y * 3x] + 19 = 2(y + -23) [-45x + 3xy] + 19 = 2(y + -23) Reorder the terms: 19 + -45x + 3xy = 2(y + -23) Reorder the terms: 19 + -45x + 3xy = 2(-23 + y) 19 + -45x + 3xy = (-23 * 2 + y * 2) 19 + -45x + 3xy = (-46 + 2y) Solving 19 + -45x + 3xy = -46 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -45x + -19 + 3xy = -46 + -19 + 2y Reorder the terms: 19 + -19 + -45x + 3xy = -46 + -19 + 2y Combine like terms: 19 + -19 = 0 0 + -45x + 3xy = -46 + -19 + 2y -45x + 3xy = -46 + -19 + 2y Combine like terms: -46 + -19 = -65 -45x + 3xy = -65 + 2y Reorder the terms: 65 + -45x + 3xy + -2y = -65 + 2y + 65 + -2y Reorder the terms: 65 + -45x + 3xy + -2y = -65 + 65 + 2y + -2y Combine like terms: -65 + 65 = 0 65 + -45x + 3xy + -2y = 0 + 2y + -2y 65 + -45x + 3xy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 65 + -45x + 3xy + -2y = 0 The solution to this equation could not be determined.
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