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Simplifying (5x + 1)(4y + 3) = 80x Reorder the terms: (1 + 5x)(4y + 3) = 80x Reorder the terms: (1 + 5x)(3 + 4y) = 80x Multiply (1 + 5x) * (3 + 4y) (1(3 + 4y) + 5x * (3 + 4y)) = 80x ((3 * 1 + 4y * 1) + 5x * (3 + 4y)) = 80x ((3 + 4y) + 5x * (3 + 4y)) = 80x (3 + 4y + (3 * 5x + 4y * 5x)) = 80x (3 + 4y + (15x + 20xy)) = 80x Reorder the terms: (3 + 15x + 20xy + 4y) = 80x (3 + 15x + 20xy + 4y) = 80x Solving 3 + 15x + 20xy + 4y = 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 3 + 15x + 20xy + -80x + 4y = 80x + -80x Reorder the terms: 3 + 15x + -80x + 20xy + 4y = 80x + -80x Combine like terms: 15x + -80x = -65x 3 + -65x + 20xy + 4y = 80x + -80x Combine like terms: 80x + -80x = 0 3 + -65x + 20xy + 4y = 0 Add '-3' to each side of the equation. 3 + -65x + 20xy + -3 + 4y = 0 + -3 Reorder the terms: 3 + -3 + -65x + 20xy + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -65x + 20xy + 4y = 0 + -3 -65x + 20xy + 4y = 0 + -3 Combine like terms: 0 + -3 = -3 -65x + 20xy + 4y = -3 Add '-4y' to each side of the equation. -65x + 20xy + 4y + -4y = -3 + -4y Combine like terms: 4y + -4y = 0 -65x + 20xy + 0 = -3 + -4y -65x + 20xy = -3 + -4y Reorder the terms: 3 + -65x + 20xy + 4y = -3 + -4y + 3 + 4y Reorder the terms: 3 + -65x + 20xy + 4y = -3 + 3 + -4y + 4y Combine like terms: -3 + 3 = 0 3 + -65x + 20xy + 4y = 0 + -4y + 4y 3 + -65x + 20xy + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 3 + -65x + 20xy + 4y = 0 The solution to this equation could not be determined.
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