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Simplifying 7(y + -2x) + 3(x + -2y) = 0 Reorder the terms: 7(-2x + y) + 3(x + -2y) = 0 (-2x * 7 + y * 7) + 3(x + -2y) = 0 (-14x + 7y) + 3(x + -2y) = 0 -14x + 7y + (x * 3 + -2y * 3) = 0 -14x + 7y + (3x + -6y) = 0 Reorder the terms: -14x + 3x + 7y + -6y = 0 Combine like terms: -14x + 3x = -11x -11x + 7y + -6y = 0 Combine like terms: 7y + -6y = 1y -11x + 1y = 0 Solving -11x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -11x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 -11x + 0 = 0 + -1y -11x = 0 + -1y Remove the zero: -11x = -1y Divide each side by '-11'. x = 0.09090909091y Simplifying x = 0.09090909091y
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