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Simplifying 5x + -11y + 7x + -3y + -4x + 2y = 0 Reorder the terms: 5x + 7x + -4x + -11y + -3y + 2y = 0 Combine like terms: 5x + 7x = 12x 12x + -4x + -11y + -3y + 2y = 0 Combine like terms: 12x + -4x = 8x 8x + -11y + -3y + 2y = 0 Combine like terms: -11y + -3y = -14y 8x + -14y + 2y = 0 Combine like terms: -14y + 2y = -12y 8x + -12y = 0 Solving 8x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 8x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 8x + 0 = 0 + 12y 8x = 0 + 12y Remove the zero: 8x = 12y Divide each side by '8'. x = 1.5y Simplifying x = 1.5y
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