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Simplifying (2x + 4y) + (2x + -1y) + -1(x + -2y) = 0 Remove parenthesis around (2x + 4y) 2x + 4y + (2x + -1y) + -1(x + -2y) = 0 Remove parenthesis around (2x + -1y) 2x + 4y + 2x + -1y + -1(x + -2y) = 0 2x + 4y + 2x + -1y + (x * -1 + -2y * -1) = 0 2x + 4y + 2x + -1y + (-1x + 2y) = 0 Reorder the terms: 2x + 2x + -1x + 4y + -1y + 2y = 0 Combine like terms: 2x + 2x = 4x 4x + -1x + 4y + -1y + 2y = 0 Combine like terms: 4x + -1x = 3x 3x + 4y + -1y + 2y = 0 Combine like terms: 4y + -1y = 3y 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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