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Simplifying 3(2x + 2y) + -1(x + -7y) = 0 (2x * 3 + 2y * 3) + -1(x + -7y) = 0 (6x + 6y) + -1(x + -7y) = 0 6x + 6y + (x * -1 + -7y * -1) = 0 6x + 6y + (-1x + 7y) = 0 Reorder the terms: 6x + -1x + 6y + 7y = 0 Combine like terms: 6x + -1x = 5x 5x + 6y + 7y = 0 Combine like terms: 6y + 7y = 13y 5x + 13y = 0 Solving 5x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. 5x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 5x + 0 = 0 + -13y 5x = 0 + -13y Remove the zero: 5x = -13y Divide each side by '5'. x = -2.6y Simplifying x = -2.6y
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