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Simplifying 3(x + 2y) + 7(2x + y) = 0 (x * 3 + 2y * 3) + 7(2x + y) = 0 (3x + 6y) + 7(2x + y) = 0 3x + 6y + (2x * 7 + y * 7) = 0 3x + 6y + (14x + 7y) = 0 Reorder the terms: 3x + 14x + 6y + 7y = 0 Combine like terms: 3x + 14x = 17x 17x + 6y + 7y = 0 Combine like terms: 6y + 7y = 13y 17x + 13y = 0 Solving 17x + 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. 17x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 17x + 0 = 0 + -13y 17x = 0 + -13y Remove the zero: 17x = -13y Divide each side by '17'. x = -0.7647058824y Simplifying x = -0.7647058824y
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