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Simplifying 3(x + -1y) + 4(x + 2y) = 0 (x * 3 + -1y * 3) + 4(x + 2y) = 0 (3x + -3y) + 4(x + 2y) = 0 3x + -3y + (x * 4 + 2y * 4) = 0 3x + -3y + (4x + 8y) = 0 Reorder the terms: 3x + 4x + -3y + 8y = 0 Combine like terms: 3x + 4x = 7x 7x + -3y + 8y = 0 Combine like terms: -3y + 8y = 5y 7x + 5y = 0 Solving 7x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 7x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 7x + 0 = 0 + -5y 7x = 0 + -5y Remove the zero: 7x = -5y Divide each side by '7'. x = -0.7142857143y Simplifying x = -0.7142857143y
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