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Simplifying (4x + 3y) * 5 = (3x + 5y) * 4 Reorder the terms for easier multiplication: 5(4x + 3y) = (3x + 5y) * 4 (4x * 5 + 3y * 5) = (3x + 5y) * 4 (20x + 15y) = (3x + 5y) * 4 Reorder the terms for easier multiplication: 20x + 15y = 4(3x + 5y) 20x + 15y = (3x * 4 + 5y * 4) 20x + 15y = (12x + 20y) Solving 20x + 15y = 12x + 20y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20x + -12x + 15y = 12x + -12x + 20y Combine like terms: 20x + -12x = 8x 8x + 15y = 12x + -12x + 20y Combine like terms: 12x + -12x = 0 8x + 15y = 0 + 20y 8x + 15y = 20y Add '-15y' to each side of the equation. 8x + 15y + -15y = 20y + -15y Combine like terms: 15y + -15y = 0 8x + 0 = 20y + -15y 8x = 20y + -15y Combine like terms: 20y + -15y = 5y 8x = 5y Divide each side by '8'. x = 0.625y Simplifying x = 0.625y
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