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Simplifying 4(5x + -4y) + -3(5x + 6y) = 0 (5x * 4 + -4y * 4) + -3(5x + 6y) = 0 (20x + -16y) + -3(5x + 6y) = 0 20x + -16y + (5x * -3 + 6y * -3) = 0 20x + -16y + (-15x + -18y) = 0 Reorder the terms: 20x + -15x + -16y + -18y = 0 Combine like terms: 20x + -15x = 5x 5x + -16y + -18y = 0 Combine like terms: -16y + -18y = -34y 5x + -34y = 0 Solving 5x + -34y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34y' to each side of the equation. 5x + -34y + 34y = 0 + 34y Combine like terms: -34y + 34y = 0 5x + 0 = 0 + 34y 5x = 0 + 34y Remove the zero: 5x = 34y Divide each side by '5'. x = 6.8y Simplifying x = 6.8y
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