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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 = -6y 8x + -6y = 0 Solving 8x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 8x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 8x + 0 = 0 + 6y 8x = 0 + 6y Remove the zero: 8x = 6y Divide each side by '8'. x = 0.75y Simplifying x = 0.75y
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