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Simplifying (5x + 4y) + (x + -7y) = 0 Remove parenthesis around (5x + 4y) 5x + 4y + (x + -7y) = 0 Remove parenthesis around (x + -7y) 5x + 4y + x + -7y = 0 Reorder the terms: 5x + x + 4y + -7y = 0 Combine like terms: 5x + x = 6x 6x + 4y + -7y = 0 Combine like terms: 4y + -7y = -3y 6x + -3y = 0 Solving 6x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 6x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 6x + 0 = 0 + 3y 6x = 0 + 3y Remove the zero: 6x = 3y Divide each side by '6'. x = 0.5y Simplifying x = 0.5y
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