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Simplifying 5x + 6y + -8(5x + -2y) = 0 5x + 6y + (5x * -8 + -2y * -8) = 0 5x + 6y + (-40x + 16y) = 0 Reorder the terms: 5x + -40x + 6y + 16y = 0 Combine like terms: 5x + -40x = -35x -35x + 6y + 16y = 0 Combine like terms: 6y + 16y = 22y -35x + 22y = 0 Solving -35x + 22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22y' to each side of the equation. -35x + 22y + -22y = 0 + -22y Combine like terms: 22y + -22y = 0 -35x + 0 = 0 + -22y -35x = 0 + -22y Remove the zero: -35x = -22y Divide each side by '-35'. x = 0.6285714286y Simplifying x = 0.6285714286y
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