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Simplifying (3x + 2y) + (5x + -6y) = 0 Remove parenthesis around (3x + 2y) 3x + 2y + (5x + -6y) = 0 Remove parenthesis around (5x + -6y) 3x + 2y + 5x + -6y = 0 Reorder the terms: 3x + 5x + 2y + -6y = 0 Combine like terms: 3x + 5x = 8x 8x + 2y + -6y = 0 Combine like terms: 2y + -6y = -4y 8x + -4y = 0 Solving 8x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 8x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 8x + 0 = 0 + 4y 8x = 0 + 4y Remove the zero: 8x = 4y Divide each side by '8'. x = 0.5y Simplifying x = 0.5y
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