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