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Simplifying 7x + -4y + -5(2y + -1x) = 0 Reorder the terms: 7x + -4y + -5(-1x + 2y) = 0 7x + -4y + (-1x * -5 + 2y * -5) = 0 7x + -4y + (5x + -10y) = 0 Reorder the terms: 7x + 5x + -4y + -10y = 0 Combine like terms: 7x + 5x = 12x 12x + -4y + -10y = 0 Combine like terms: -4y + -10y = -14y 12x + -14y = 0 Solving 12x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. 12x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 12x + 0 = 0 + 14y 12x = 0 + 14y Remove the zero: 12x = 14y Divide each side by '12'. x = 1.166666667y Simplifying x = 1.166666667y
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