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Simplifying -4(x + y) + 5(-3y + 5x) = 0 (x * -4 + y * -4) + 5(-3y + 5x) = 0 (-4x + -4y) + 5(-3y + 5x) = 0 Reorder the terms: -4x + -4y + 5(5x + -3y) = 0 -4x + -4y + (5x * 5 + -3y * 5) = 0 -4x + -4y + (25x + -15y) = 0 Reorder the terms: -4x + 25x + -4y + -15y = 0 Combine like terms: -4x + 25x = 21x 21x + -4y + -15y = 0 Combine like terms: -4y + -15y = -19y 21x + -19y = 0 Solving 21x + -19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19y' to each side of the equation. 21x + -19y + 19y = 0 + 19y Combine like terms: -19y + 19y = 0 21x + 0 = 0 + 19y 21x = 0 + 19y Remove the zero: 21x = 19y Divide each side by '21'. x = 0.9047619048y Simplifying x = 0.9047619048y
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