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Simplifying 4(5x + 8y) = 3(5x + 12y) (5x * 4 + 8y * 4) = 3(5x + 12y) (20x + 32y) = 3(5x + 12y) 20x + 32y = (5x * 3 + 12y * 3) 20x + 32y = (15x + 36y) Solving 20x + 32y = 15x + 36y 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. 20x + -15x + 32y = 15x + -15x + 36y Combine like terms: 20x + -15x = 5x 5x + 32y = 15x + -15x + 36y Combine like terms: 15x + -15x = 0 5x + 32y = 0 + 36y 5x + 32y = 36y Add '-32y' to each side of the equation. 5x + 32y + -32y = 36y + -32y Combine like terms: 32y + -32y = 0 5x + 0 = 36y + -32y 5x = 36y + -32y Combine like terms: 36y + -32y = 4y 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8y
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