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Simplifying 2x + (3x + 2y) + -1(4x + y) = 0 Remove parenthesis around (3x + 2y) 2x + 3x + 2y + -1(4x + y) = 0 2x + 3x + 2y + (4x * -1 + y * -1) = 0 2x + 3x + 2y + (-4x + -1y) = 0 Reorder the terms: 2x + 3x + -4x + 2y + -1y = 0 Combine like terms: 2x + 3x = 5x 5x + -4x + 2y + -1y = 0 Combine like terms: 5x + -4x = 1x 1x + 2y + -1y = 0 Combine like terms: 2y + -1y = 1y 1x + 1y = 0 Solving 1x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 1x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 1x + 0 = 0 + -1y 1x = 0 + -1y Remove the zero: 1x = -1y Divide each side by '1'. x = -1y Simplifying x = -1y
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