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Simplifying 20x + 30(107.5 + -0.5x) + 20y = 5550 20x + (107.5 * 30 + -0.5x * 30) + 20y = 5550 20x + (3225 + -15x) + 20y = 5550 Reorder the terms: 3225 + 20x + -15x + 20y = 5550 Combine like terms: 20x + -15x = 5x 3225 + 5x + 20y = 5550 Solving 3225 + 5x + 20y = 5550 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3225' to each side of the equation. 3225 + 5x + -3225 + 20y = 5550 + -3225 Reorder the terms: 3225 + -3225 + 5x + 20y = 5550 + -3225 Combine like terms: 3225 + -3225 = 0 0 + 5x + 20y = 5550 + -3225 5x + 20y = 5550 + -3225 Combine like terms: 5550 + -3225 = 2325 5x + 20y = 2325 Add '-20y' to each side of the equation. 5x + 20y + -20y = 2325 + -20y Combine like terms: 20y + -20y = 0 5x + 0 = 2325 + -20y 5x = 2325 + -20y Divide each side by '5'. x = 465 + -4y Simplifying x = 465 + -4y
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