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Simplifying -1(3y + x) + 5(4x + -5y) = 0 Reorder the terms: -1(x + 3y) + 5(4x + -5y) = 0 (x * -1 + 3y * -1) + 5(4x + -5y) = 0 (-1x + -3y) + 5(4x + -5y) = 0 -1x + -3y + (4x * 5 + -5y * 5) = 0 -1x + -3y + (20x + -25y) = 0 Reorder the terms: -1x + 20x + -3y + -25y = 0 Combine like terms: -1x + 20x = 19x 19x + -3y + -25y = 0 Combine like terms: -3y + -25y = -28y 19x + -28y = 0 Solving 19x + -28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28y' to each side of the equation. 19x + -28y + 28y = 0 + 28y Combine like terms: -28y + 28y = 0 19x + 0 = 0 + 28y 19x = 0 + 28y Remove the zero: 19x = 28y Divide each side by '19'. x = 1.473684211y Simplifying x = 1.473684211y
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