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Simplifying -2(-6y + x) + 3(5x + -2y) = 0 Reorder the terms: -2(x + -6y) + 3(5x + -2y) = 0 (x * -2 + -6y * -2) + 3(5x + -2y) = 0 (-2x + 12y) + 3(5x + -2y) = 0 -2x + 12y + (5x * 3 + -2y * 3) = 0 -2x + 12y + (15x + -6y) = 0 Reorder the terms: -2x + 15x + 12y + -6y = 0 Combine like terms: -2x + 15x = 13x 13x + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y 13x + 6y = 0 Solving 13x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 13x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 13x + 0 = 0 + -6y 13x = 0 + -6y Remove the zero: 13x = -6y Divide each side by '13'. x = -0.4615384615y Simplifying x = -0.4615384615y
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