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Simplifying -1(x + -3y) + (4x + 2y) = 0 (x * -1 + -3y * -1) + (4x + 2y) = 0 (-1x + 3y) + (4x + 2y) = 0 Remove parenthesis around (4x + 2y) -1x + 3y + 4x + 2y = 0 Reorder the terms: -1x + 4x + 3y + 2y = 0 Combine like terms: -1x + 4x = 3x 3x + 3y + 2y = 0 Combine like terms: 3y + 2y = 5y 3x + 5y = 0 Solving 3x + 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. 3x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 3x + 0 = 0 + -5y 3x = 0 + -5y Remove the zero: 3x = -5y Divide each side by '3'. x = -1.666666667y Simplifying x = -1.666666667y
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