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