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Simplifying (3x + 7y) + (5x + 1y) = 0 Remove parenthesis around (3x + 7y) 3x + 7y + (5x + 1y) = 0 Remove parenthesis around (5x + 1y) 3x + 7y + 5x + 1y = 0 Reorder the terms: 3x + 5x + 7y + 1y = 0 Combine like terms: 3x + 5x = 8x 8x + 7y + 1y = 0 Combine like terms: 7y + 1y = 8y 8x + 8y = 0 Solving 8x + 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. 8x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 8x + 0 = 0 + -8y 8x = 0 + -8y Remove the zero: 8x = -8y Divide each side by '8'. x = -1y Simplifying x = -1y
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