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Simplifying (x + 16)(y + 12) = 480 Reorder the terms: (16 + x)(y + 12) = 480 Reorder the terms: (16 + x)(12 + y) = 480 Multiply (16 + x) * (12 + y) (16(12 + y) + x(12 + y)) = 480 ((12 * 16 + y * 16) + x(12 + y)) = 480 ((192 + 16y) + x(12 + y)) = 480 (192 + 16y + (12 * x + y * x)) = 480 (192 + 16y + (12x + xy)) = 480 Reorder the terms: (192 + 12x + xy + 16y) = 480 (192 + 12x + xy + 16y) = 480 Solving 192 + 12x + xy + 16y = 480 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-192' to each side of the equation. 192 + 12x + xy + -192 + 16y = 480 + -192 Reorder the terms: 192 + -192 + 12x + xy + 16y = 480 + -192 Combine like terms: 192 + -192 = 0 0 + 12x + xy + 16y = 480 + -192 12x + xy + 16y = 480 + -192 Combine like terms: 480 + -192 = 288 12x + xy + 16y = 288 Add '-16y' to each side of the equation. 12x + xy + 16y + -16y = 288 + -16y Combine like terms: 16y + -16y = 0 12x + xy + 0 = 288 + -16y 12x + xy = 288 + -16y Reorder the terms: -288 + 12x + xy + 16y = 288 + -16y + -288 + 16y Reorder the terms: -288 + 12x + xy + 16y = 288 + -288 + -16y + 16y Combine like terms: 288 + -288 = 0 -288 + 12x + xy + 16y = 0 + -16y + 16y -288 + 12x + xy + 16y = -16y + 16y Combine like terms: -16y + 16y = 0 -288 + 12x + xy + 16y = 0 The solution to this equation could not be determined.
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