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