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Simplifying 7x + 6y + -7(5x + -2y) = 0 7x + 6y + (5x * -7 + -2y * -7) = 0 7x + 6y + (-35x + 14y) = 0 Reorder the terms: 7x + -35x + 6y + 14y = 0 Combine like terms: 7x + -35x = -28x -28x + 6y + 14y = 0 Combine like terms: 6y + 14y = 20y -28x + 20y = 0 Solving -28x + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. -28x + 20y + -20y = 0 + -20y Combine like terms: 20y + -20y = 0 -28x + 0 = 0 + -20y -28x = 0 + -20y Remove the zero: -28x = -20y Divide each side by '-28'. x = 0.7142857143y Simplifying x = 0.7142857143y
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