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Simplifying 0 = (3x + -4y) + -1(x + 3y) + (2x + -1y) Remove parenthesis around (3x + -4y) 0 = 3x + -4y + -1(x + 3y) + (2x + -1y) 0 = 3x + -4y + (x * -1 + 3y * -1) + (2x + -1y) 0 = 3x + -4y + (-1x + -3y) + (2x + -1y) Remove parenthesis around (2x + -1y) 0 = 3x + -4y + -1x + -3y + 2x + -1y Reorder the terms: 0 = 3x + -1x + 2x + -4y + -3y + -1y Combine like terms: 3x + -1x = 2x 0 = 2x + 2x + -4y + -3y + -1y Combine like terms: 2x + 2x = 4x 0 = 4x + -4y + -3y + -1y Combine like terms: -4y + -3y = -7y 0 = 4x + -7y + -1y Combine like terms: -7y + -1y = -8y 0 = 4x + -8y Solving 0 = 4x + -8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 0 + -4x = 4x + -4x + -8y Remove the zero: -4x = 4x + -4x + -8y Combine like terms: 4x + -4x = 0 -4x = 0 + -8y -4x = -8y Divide each side by '-4'. x = 2y Simplifying x = 2y
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