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Simplifying (-2x + 3y) + -1(-5x + y) = 0 Remove parenthesis around (-2x + 3y) -2x + 3y + -1(-5x + y) = 0 -2x + 3y + (-5x * -1 + y * -1) = 0 -2x + 3y + (5x + -1y) = 0 Reorder the terms: -2x + 5x + 3y + -1y = 0 Combine like terms: -2x + 5x = 3x 3x + 3y + -1y = 0 Combine like terms: 3y + -1y = 2y 3x + 2y = 0 Solving 3x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 3x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 0 + -2y 3x = 0 + -2y Remove the zero: 3x = -2y Divide each side by '3'. x = -0.6666666667y Simplifying x = -0.6666666667y
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