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