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Simplifying 6x + 5y + -5(8x + -2y) = 0 6x + 5y + (8x * -5 + -2y * -5) = 0 6x + 5y + (-40x + 10y) = 0 Reorder the terms: 6x + -40x + 5y + 10y = 0 Combine like terms: 6x + -40x = -34x -34x + 5y + 10y = 0 Combine like terms: 5y + 10y = 15y -34x + 15y = 0 Solving -34x + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. -34x + 15y + -15y = 0 + -15y Combine like terms: 15y + -15y = 0 -34x + 0 = 0 + -15y -34x = 0 + -15y Remove the zero: -34x = -15y Divide each side by '-34'. x = 0.4411764706y Simplifying x = 0.4411764706y
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