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Simplifying (5x + 6y) + (3x + -2y) = 0 Remove parenthesis around (5x + 6y) 5x + 6y + (3x + -2y) = 0 Remove parenthesis around (3x + -2y) 5x + 6y + 3x + -2y = 0 Reorder the terms: 5x + 3x + 6y + -2y = 0 Combine like terms: 5x + 3x = 8x 8x + 6y + -2y = 0 Combine like terms: 6y + -2y = 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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