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Simplifying 4(5x + 6y) + -1(4x + 7y) = 0 (5x * 4 + 6y * 4) + -1(4x + 7y) = 0 (20x + 24y) + -1(4x + 7y) = 0 20x + 24y + (4x * -1 + 7y * -1) = 0 20x + 24y + (-4x + -7y) = 0 Reorder the terms: 20x + -4x + 24y + -7y = 0 Combine like terms: 20x + -4x = 16x 16x + 24y + -7y = 0 Combine like terms: 24y + -7y = 17y 16x + 17y = 0 Solving 16x + 17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17y' to each side of the equation. 16x + 17y + -17y = 0 + -17y Combine like terms: 17y + -17y = 0 16x + 0 = 0 + -17y 16x = 0 + -17y Remove the zero: 16x = -17y Divide each side by '16'. x = -1.0625y Simplifying x = -1.0625y
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