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Simplifying 1620 + xy = (x + 24)(y + 15) Reorder the terms: 1620 + xy = (24 + x)(y + 15) Reorder the terms: 1620 + xy = (24 + x)(15 + y) Multiply (24 + x) * (15 + y) 1620 + xy = (24(15 + y) + x(15 + y)) 1620 + xy = ((15 * 24 + y * 24) + x(15 + y)) 1620 + xy = ((360 + 24y) + x(15 + y)) 1620 + xy = (360 + 24y + (15 * x + y * x)) 1620 + xy = (360 + 24y + (15x + xy)) Reorder the terms: 1620 + xy = (360 + 15x + xy + 24y) 1620 + xy = (360 + 15x + xy + 24y) Add '-1xy' to each side of the equation. 1620 + xy + -1xy = 360 + 15x + xy + -1xy + 24y Combine like terms: xy + -1xy = 0 1620 + 0 = 360 + 15x + xy + -1xy + 24y 1620 = 360 + 15x + xy + -1xy + 24y Combine like terms: xy + -1xy = 0 1620 = 360 + 15x + 0 + 24y 1620 = 360 + 15x + 24y Solving 1620 = 360 + 15x + 24y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 1620 + -15x = 360 + 15x + -15x + 24y Combine like terms: 15x + -15x = 0 1620 + -15x = 360 + 0 + 24y 1620 + -15x = 360 + 24y Add '-1620' to each side of the equation. 1620 + -1620 + -15x = 360 + -1620 + 24y Combine like terms: 1620 + -1620 = 0 0 + -15x = 360 + -1620 + 24y -15x = 360 + -1620 + 24y Combine like terms: 360 + -1620 = -1260 -15x = -1260 + 24y Divide each side by '-15'. x = 84 + -1.6y Simplifying x = 84 + -1.6y
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