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Simplifying (2x + -3y) + -1(5x + -4y) = 0 Remove parenthesis around (2x + -3y) 2x + -3y + -1(5x + -4y) = 0 2x + -3y + (5x * -1 + -4y * -1) = 0 2x + -3y + (-5x + 4y) = 0 Reorder the terms: 2x + -5x + -3y + 4y = 0 Combine like terms: 2x + -5x = -3x -3x + -3y + 4y = 0 Combine like terms: -3y + 4y = 1y -3x + 1y = 0 Solving -3x + 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. -3x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 -3x + 0 = 0 + -1y -3x = 0 + -1y Remove the zero: -3x = -1y Divide each side by '-3'. x = 0.3333333333y Simplifying x = 0.3333333333y
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