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Simplifying 3(x + -4y) + -2(y + 7x) = 0 (x * 3 + -4y * 3) + -2(y + 7x) = 0 (3x + -12y) + -2(y + 7x) = 0 Reorder the terms: 3x + -12y + -2(7x + y) = 0 3x + -12y + (7x * -2 + y * -2) = 0 3x + -12y + (-14x + -2y) = 0 Reorder the terms: 3x + -14x + -12y + -2y = 0 Combine like terms: 3x + -14x = -11x -11x + -12y + -2y = 0 Combine like terms: -12y + -2y = -14y -11x + -14y = 0 Solving -11x + -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. -11x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 -11x + 0 = 0 + 14y -11x = 0 + 14y Remove the zero: -11x = 14y Divide each side by '-11'. x = -1.272727273y Simplifying x = -1.272727273y
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