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Simplifying -5(x + y) + 2(x + -1y) = 0 (x * -5 + y * -5) + 2(x + -1y) = 0 (-5x + -5y) + 2(x + -1y) = 0 -5x + -5y + (x * 2 + -1y * 2) = 0 -5x + -5y + (2x + -2y) = 0 Reorder the terms: -5x + 2x + -5y + -2y = 0 Combine like terms: -5x + 2x = -3x -3x + -5y + -2y = 0 Combine like terms: -5y + -2y = -7y -3x + -7y = 0 Solving -3x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. -3x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 -3x + 0 = 0 + 7y -3x = 0 + 7y Remove the zero: -3x = 7y Divide each side by '-3'. x = -2.333333333y Simplifying x = -2.333333333y
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