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Simplifying (4x + 5)(3y + -20) = 360 Reorder the terms: (5 + 4x)(3y + -20) = 360 Reorder the terms: (5 + 4x)(-20 + 3y) = 360 Multiply (5 + 4x) * (-20 + 3y) (5(-20 + 3y) + 4x * (-20 + 3y)) = 360 ((-20 * 5 + 3y * 5) + 4x * (-20 + 3y)) = 360 ((-100 + 15y) + 4x * (-20 + 3y)) = 360 (-100 + 15y + (-20 * 4x + 3y * 4x)) = 360 (-100 + 15y + (-80x + 12xy)) = 360 Reorder the terms: (-100 + -80x + 12xy + 15y) = 360 (-100 + -80x + 12xy + 15y) = 360 Solving -100 + -80x + 12xy + 15y = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + -80x + 12xy + 100 + 15y = 360 + 100 Reorder the terms: -100 + 100 + -80x + 12xy + 15y = 360 + 100 Combine like terms: -100 + 100 = 0 0 + -80x + 12xy + 15y = 360 + 100 -80x + 12xy + 15y = 360 + 100 Combine like terms: 360 + 100 = 460 -80x + 12xy + 15y = 460 Add '-15y' to each side of the equation. -80x + 12xy + 15y + -15y = 460 + -15y Combine like terms: 15y + -15y = 0 -80x + 12xy + 0 = 460 + -15y -80x + 12xy = 460 + -15y Reorder the terms: -460 + -80x + 12xy + 15y = 460 + -15y + -460 + 15y Reorder the terms: -460 + -80x + 12xy + 15y = 460 + -460 + -15y + 15y Combine like terms: 460 + -460 = 0 -460 + -80x + 12xy + 15y = 0 + -15y + 15y -460 + -80x + 12xy + 15y = -15y + 15y Combine like terms: -15y + 15y = 0 -460 + -80x + 12xy + 15y = 0 The solution to this equation could not be determined.
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