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Simplifying 8x + 6y + 2(x + -1y) + -6 = 0 8x + 6y + (x * 2 + -1y * 2) + -6 = 0 8x + 6y + (2x + -2y) + -6 = 0 Reorder the terms: -6 + 8x + 2x + 6y + -2y = 0 Combine like terms: 8x + 2x = 10x -6 + 10x + 6y + -2y = 0 Combine like terms: 6y + -2y = 4y -6 + 10x + 4y = 0 Solving -6 + 10x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 10x + 6 + 4y = 0 + 6 Reorder the terms: -6 + 6 + 10x + 4y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 10x + 4y = 0 + 6 10x + 4y = 0 + 6 Combine like terms: 0 + 6 = 6 10x + 4y = 6 Add '-4y' to each side of the equation. 10x + 4y + -4y = 6 + -4y Combine like terms: 4y + -4y = 0 10x + 0 = 6 + -4y 10x = 6 + -4y Divide each side by '10'. x = 0.6 + -0.4y Simplifying x = 0.6 + -0.4y
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