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Simplifying (5x + 4y) + -1(-5x + (-4y)) = 0 Remove parenthesis around (5x + 4y) 5x + 4y + -1(-5x + (-4y)) = 0 5x + 4y + (-5x * -1 + (-4y) * -1) = 0 5x + 4y + (5x + 4y) = 0 Reorder the terms: 5x + 5x + 4y + 4y = 0 Combine like terms: 5x + 5x = 10x 10x + 4y + 4y = 0 Combine like terms: 4y + 4y = 8y 10x + 8y = 0 Solving 10x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 10x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 10x + 0 = 0 + -8y 10x = 0 + -8y Remove the zero: 10x = -8y Divide each side by '10'. x = -0.8y Simplifying x = -0.8y
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