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Simplifying (7x + -4y) + -1(2x + -8y) = 0 Remove parenthesis around (7x + -4y) 7x + -4y + -1(2x + -8y) = 0 7x + -4y + (2x * -1 + -8y * -1) = 0 7x + -4y + (-2x + 8y) = 0 Reorder the terms: 7x + -2x + -4y + 8y = 0 Combine like terms: 7x + -2x = 5x 5x + -4y + 8y = 0 Combine like terms: -4y + 8y = 4y 5x + 4y = 0 Solving 5x + 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. 5x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 5x + 0 = 0 + -4y 5x = 0 + -4y Remove the zero: 5x = -4y Divide each side by '5'. x = -0.8y Simplifying x = -0.8y
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