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Simplifying (5x + -2y) + (3x + 4y) = 0 Remove parenthesis around (5x + -2y) 5x + -2y + (3x + 4y) = 0 Remove parenthesis around (3x + 4y) 5x + -2y + 3x + 4y = 0 Reorder the terms: 5x + 3x + -2y + 4y = 0 Combine like terms: 5x + 3x = 8x 8x + -2y + 4y = 0 Combine like terms: -2y + 4y = 2y 8x + 2y = 0 Solving 8x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 8x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 8x + 0 = 0 + -2y 8x = 0 + -2y Remove the zero: 8x = -2y Divide each side by '8'. x = -0.25y Simplifying x = -0.25y
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