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Simplifying 3x + -2y + -1(4y + x) = 0 Reorder the terms: 3x + -2y + -1(x + 4y) = 0 3x + -2y + (x * -1 + 4y * -1) = 0 3x + -2y + (-1x + -4y) = 0 Reorder the terms: 3x + -1x + -2y + -4y = 0 Combine like terms: 3x + -1x = 2x 2x + -2y + -4y = 0 Combine like terms: -2y + -4y = -6y 2x + -6y = 0 Solving 2x + -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. 2x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 2x + 0 = 0 + 6y 2x = 0 + 6y Remove the zero: 2x = 6y Divide each side by '2'. x = 3y Simplifying x = 3y
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