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Simplifying (5x + 8)(17y + 3) = (21x)(20y + -2) Reorder the terms: (8 + 5x)(17y + 3) = (21x)(20y + -2) Reorder the terms: (8 + 5x)(3 + 17y) = (21x)(20y + -2) Multiply (8 + 5x) * (3 + 17y) (8(3 + 17y) + 5x * (3 + 17y)) = (21x)(20y + -2) ((3 * 8 + 17y * 8) + 5x * (3 + 17y)) = (21x)(20y + -2) ((24 + 136y) + 5x * (3 + 17y)) = (21x)(20y + -2) (24 + 136y + (3 * 5x + 17y * 5x)) = (21x)(20y + -2) (24 + 136y + (15x + 85xy)) = (21x)(20y + -2) Reorder the terms: (24 + 15x + 85xy + 136y) = (21x)(20y + -2) (24 + 15x + 85xy + 136y) = (21x)(20y + -2) Remove parenthesis around (21x) 24 + 15x + 85xy + 136y = 21x(20y + -2) Reorder the terms: 24 + 15x + 85xy + 136y = 21x(-2 + 20y) 24 + 15x + 85xy + 136y = (-2 * 21x + 20y * 21x) 24 + 15x + 85xy + 136y = (-42x + 420xy) Solving 24 + 15x + 85xy + 136y = -42x + 420xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 24 + 15x + 85xy + 42x + 136y = -42x + 42x + 420xy Reorder the terms: 24 + 15x + 42x + 85xy + 136y = -42x + 42x + 420xy Combine like terms: 15x + 42x = 57x 24 + 57x + 85xy + 136y = -42x + 42x + 420xy Combine like terms: -42x + 42x = 0 24 + 57x + 85xy + 136y = 0 + 420xy 24 + 57x + 85xy + 136y = 420xy Add '-420xy' to each side of the equation. 24 + 57x + 85xy + -420xy + 136y = 420xy + -420xy Combine like terms: 85xy + -420xy = -335xy 24 + 57x + -335xy + 136y = 420xy + -420xy Combine like terms: 420xy + -420xy = 0 24 + 57x + -335xy + 136y = 0 Add '-24' to each side of the equation. 24 + 57x + -335xy + -24 + 136y = 0 + -24 Reorder the terms: 24 + -24 + 57x + -335xy + 136y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 57x + -335xy + 136y = 0 + -24 57x + -335xy + 136y = 0 + -24 Combine like terms: 0 + -24 = -24 57x + -335xy + 136y = -24 Add '-136y' to each side of the equation. 57x + -335xy + 136y + -136y = -24 + -136y Combine like terms: 136y + -136y = 0 57x + -335xy + 0 = -24 + -136y 57x + -335xy = -24 + -136y Reorder the terms: 24 + 57x + -335xy + 136y = -24 + -136y + 24 + 136y Reorder the terms: 24 + 57x + -335xy + 136y = -24 + 24 + -136y + 136y Combine like terms: -24 + 24 = 0 24 + 57x + -335xy + 136y = 0 + -136y + 136y 24 + 57x + -335xy + 136y = -136y + 136y Combine like terms: -136y + 136y = 0 24 + 57x + -335xy + 136y = 0 The solution to this equation could not be determined.
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