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Simplifying (8x + -2y) + (4x + 4y + -6) = 0 Remove parenthesis around (8x + -2y) 8x + -2y + (4x + 4y + -6) = 0 Reorder the terms: 8x + -2y + (-6 + 4x + 4y) = 0 Remove parenthesis around (-6 + 4x + 4y) 8x + -2y + -6 + 4x + 4y = 0 Reorder the terms: -6 + 8x + 4x + -2y + 4y = 0 Combine like terms: 8x + 4x = 12x -6 + 12x + -2y + 4y = 0 Combine like terms: -2y + 4y = 2y -6 + 12x + 2y = 0 Solving -6 + 12x + 2y = 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 + 12x + 6 + 2y = 0 + 6 Reorder the terms: -6 + 6 + 12x + 2y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12x + 2y = 0 + 6 12x + 2y = 0 + 6 Combine like terms: 0 + 6 = 6 12x + 2y = 6 Add '-2y' to each side of the equation. 12x + 2y + -2y = 6 + -2y Combine like terms: 2y + -2y = 0 12x + 0 = 6 + -2y 12x = 6 + -2y Divide each side by '12'. x = 0.5 + -0.1666666667y Simplifying x = 0.5 + -0.1666666667y
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