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Simplifying 4(3y + -5x) + -3(x + -3y) = 0 Reorder the terms: 4(-5x + 3y) + -3(x + -3y) = 0 (-5x * 4 + 3y * 4) + -3(x + -3y) = 0 (-20x + 12y) + -3(x + -3y) = 0 -20x + 12y + (x * -3 + -3y * -3) = 0 -20x + 12y + (-3x + 9y) = 0 Reorder the terms: -20x + -3x + 12y + 9y = 0 Combine like terms: -20x + -3x = -23x -23x + 12y + 9y = 0 Combine like terms: 12y + 9y = 21y -23x + 21y = 0 Solving -23x + 21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21y' to each side of the equation. -23x + 21y + -21y = 0 + -21y Combine like terms: 21y + -21y = 0 -23x + 0 = 0 + -21y -23x = 0 + -21y Remove the zero: -23x = -21y Divide each side by '-23'. x = 0.9130434783y Simplifying x = 0.9130434783y
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