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Simplifying (2x + 3y + -6) + 3(2x + y) = 0 Reorder the terms: (-6 + 2x + 3y) + 3(2x + y) = 0 Remove parenthesis around (-6 + 2x + 3y) -6 + 2x + 3y + 3(2x + y) = 0 -6 + 2x + 3y + (2x * 3 + y * 3) = 0 -6 + 2x + 3y + (6x + 3y) = 0 Reorder the terms: -6 + 2x + 6x + 3y + 3y = 0 Combine like terms: 2x + 6x = 8x -6 + 8x + 3y + 3y = 0 Combine like terms: 3y + 3y = 6y -6 + 8x + 6y = 0 Solving -6 + 8x + 6y = 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 + 8x + 6 + 6y = 0 + 6 Reorder the terms: -6 + 6 + 8x + 6y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 8x + 6y = 0 + 6 8x + 6y = 0 + 6 Combine like terms: 0 + 6 = 6 8x + 6y = 6 Add '-6y' to each side of the equation. 8x + 6y + -6y = 6 + -6y Combine like terms: 6y + -6y = 0 8x + 0 = 6 + -6y 8x = 6 + -6y Divide each side by '8'. x = 0.75 + -0.75y Simplifying x = 0.75 + -0.75y
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