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Simplifying (x + -12) * y = (5y + 15)(x + -10) Reorder the terms: (-12 + x) * y = (5y + 15)(x + -10) Reorder the terms for easier multiplication: y(-12 + x) = (5y + 15)(x + -10) (-12 * y + x * y) = (5y + 15)(x + -10) Reorder the terms: (xy + -12y) = (5y + 15)(x + -10) (xy + -12y) = (5y + 15)(x + -10) Reorder the terms: xy + -12y = (15 + 5y)(x + -10) Reorder the terms: xy + -12y = (15 + 5y)(-10 + x) Multiply (15 + 5y) * (-10 + x) xy + -12y = (15(-10 + x) + 5y * (-10 + x)) xy + -12y = ((-10 * 15 + x * 15) + 5y * (-10 + x)) xy + -12y = ((-150 + 15x) + 5y * (-10 + x)) xy + -12y = (-150 + 15x + (-10 * 5y + x * 5y)) Reorder the terms: xy + -12y = (-150 + 15x + (5xy + -50y)) xy + -12y = (-150 + 15x + (5xy + -50y)) xy + -12y = (-150 + 15x + 5xy + -50y) Solving xy + -12y = -150 + 15x + 5xy + -50y 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. xy + -15x + -12y = -150 + 15x + 5xy + -15x + -50y Reorder the terms: -15x + xy + -12y = -150 + 15x + 5xy + -15x + -50y Reorder the terms: -15x + xy + -12y = -150 + 15x + -15x + 5xy + -50y Combine like terms: 15x + -15x = 0 -15x + xy + -12y = -150 + 0 + 5xy + -50y -15x + xy + -12y = -150 + 5xy + -50y Add '-5xy' to each side of the equation. -15x + xy + -5xy + -12y = -150 + 5xy + -5xy + -50y Combine like terms: xy + -5xy = -4xy -15x + -4xy + -12y = -150 + 5xy + -5xy + -50y Combine like terms: 5xy + -5xy = 0 -15x + -4xy + -12y = -150 + 0 + -50y -15x + -4xy + -12y = -150 + -50y Add '12y' to each side of the equation. -15x + -4xy + -12y + 12y = -150 + -50y + 12y Combine like terms: -12y + 12y = 0 -15x + -4xy + 0 = -150 + -50y + 12y -15x + -4xy = -150 + -50y + 12y Combine like terms: -50y + 12y = -38y -15x + -4xy = -150 + -38y Reorder the terms: 150 + -15x + -4xy + 38y = -150 + -38y + 150 + 38y Reorder the terms: 150 + -15x + -4xy + 38y = -150 + 150 + -38y + 38y Combine like terms: -150 + 150 = 0 150 + -15x + -4xy + 38y = 0 + -38y + 38y 150 + -15x + -4xy + 38y = -38y + 38y Combine like terms: -38y + 38y = 0 150 + -15x + -4xy + 38y = 0 The solution to this equation could not be determined.
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