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Simplifying (5x + -12y) + (8y + 7x) = 0 Remove parenthesis around (5x + -12y) 5x + -12y + (8y + 7x) = 0 Reorder the terms: 5x + -12y + (7x + 8y) = 0 Remove parenthesis around (7x + 8y) 5x + -12y + 7x + 8y = 0 Reorder the terms: 5x + 7x + -12y + 8y = 0 Combine like terms: 5x + 7x = 12x 12x + -12y + 8y = 0 Combine like terms: -12y + 8y = -4y 12x + -4y = 0 Solving 12x + -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. 12x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 12x + 0 = 0 + 4y 12x = 0 + 4y Remove the zero: 12x = 4y Divide each side by '12'. x = 0.3333333333y Simplifying x = 0.3333333333y
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