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Simplifying (5x + 5y) + (3x + 7y) = 0 Remove parenthesis around (5x + 5y) 5x + 5y + (3x + 7y) = 0 Remove parenthesis around (3x + 7y) 5x + 5y + 3x + 7y = 0 Reorder the terms: 5x + 3x + 5y + 7y = 0 Combine like terms: 5x + 3x = 8x 8x + 5y + 7y = 0 Combine like terms: 5y + 7y = 12y 8x + 12y = 0 Solving 8x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 8x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 8x + 0 = 0 + -12y 8x = 0 + -12y Remove the zero: 8x = -12y Divide each side by '8'. x = -1.5y Simplifying x = -1.5y
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