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Simplifying 6x + 6y + 6 + 2x + -2y + -4 = 0 Reorder the terms: 6 + -4 + 6x + 2x + 6y + -2y = 0 Combine like terms: 6 + -4 = 2 2 + 6x + 2x + 6y + -2y = 0 Combine like terms: 6x + 2x = 8x 2 + 8x + 6y + -2y = 0 Combine like terms: 6y + -2y = 4y 2 + 8x + 4y = 0 Solving 2 + 8x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 8x + -2 + 4y = 0 + -2 Reorder the terms: 2 + -2 + 8x + 4y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8x + 4y = 0 + -2 8x + 4y = 0 + -2 Combine like terms: 0 + -2 = -2 8x + 4y = -2 Add '-4y' to each side of the equation. 8x + 4y + -4y = -2 + -4y Combine like terms: 4y + -4y = 0 8x + 0 = -2 + -4y 8x = -2 + -4y Divide each side by '8'. x = -0.25 + -0.5y Simplifying x = -0.25 + -0.5y
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