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Simplifying (8y + -2x) + (3x + -4y) = 0 Reorder the terms: (-2x + 8y) + (3x + -4y) = 0 Remove parenthesis around (-2x + 8y) -2x + 8y + (3x + -4y) = 0 Remove parenthesis around (3x + -4y) -2x + 8y + 3x + -4y = 0 Reorder the terms: -2x + 3x + 8y + -4y = 0 Combine like terms: -2x + 3x = 1x 1x + 8y + -4y = 0 Combine like terms: 8y + -4y = 4y 1x + 4y = 0 Solving 1x + 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. 1x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 1x + 0 = 0 + -4y 1x = 0 + -4y Remove the zero: 1x = -4y Divide each side by '1'. x = -4y Simplifying x = -4y
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