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Simplifying 6(4x + -1y) + -2(5x + 2y) = 0 (4x * 6 + -1y * 6) + -2(5x + 2y) = 0 (24x + -6y) + -2(5x + 2y) = 0 24x + -6y + (5x * -2 + 2y * -2) = 0 24x + -6y + (-10x + -4y) = 0 Reorder the terms: 24x + -10x + -6y + -4y = 0 Combine like terms: 24x + -10x = 14x 14x + -6y + -4y = 0 Combine like terms: -6y + -4y = -10y 14x + -10y = 0 Solving 14x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 14x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 14x + 0 = 0 + 10y 14x = 0 + 10y Remove the zero: 14x = 10y Divide each side by '14'. x = 0.7142857143y Simplifying x = 0.7142857143y
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