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Simplifying (2x + -3y) + -1(-1x + 2y) = 0 Remove parenthesis around (2x + -3y) 2x + -3y + -1(-1x + 2y) = 0 2x + -3y + (-1x * -1 + 2y * -1) = 0 2x + -3y + (1x + -2y) = 0 Reorder the terms: 2x + 1x + -3y + -2y = 0 Combine like terms: 2x + 1x = 3x 3x + -3y + -2y = 0 Combine like terms: -3y + -2y = -5y 3x + -5y = 0 Solving 3x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 3x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 3x + 0 = 0 + 5y 3x = 0 + 5y Remove the zero: 3x = 5y Divide each side by '3'. x = 1.666666667y Simplifying x = 1.666666667y
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