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Simplifying 12x + (-11y) + (-4x) + 13y = 0 Reorder the terms: 12x + (-4x) + (-11y) + 13y = 0 Combine like terms: 12x + (-4x) = 8x 8x + (-11y) + 13y = 0 Combine like terms: (-11y) + 13y = 2y 8x + 2y = 0 Solving 8x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 8x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 8x + 0 = 0 + -2y 8x = 0 + -2y Remove the zero: 8x = -2y Divide each side by '8'. x = -0.25y Simplifying x = -0.25y
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