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Simplifying (x + -1y) + -1(2x + 3y) + (-1x + -7y) = 0 Remove parenthesis around (x + -1y) x + -1y + -1(2x + 3y) + (-1x + -7y) = 0 x + -1y + (2x * -1 + 3y * -1) + (-1x + -7y) = 0 x + -1y + (-2x + -3y) + (-1x + -7y) = 0 Remove parenthesis around (-1x + -7y) x + -1y + -2x + -3y + -1x + -7y = 0 Reorder the terms: x + -2x + -1x + -1y + -3y + -7y = 0 Combine like terms: x + -2x = -1x -1x + -1x + -1y + -3y + -7y = 0 Combine like terms: -1x + -1x = -2x -2x + -1y + -3y + -7y = 0 Combine like terms: -1y + -3y = -4y -2x + -4y + -7y = 0 Combine like terms: -4y + -7y = -11y -2x + -11y = 0 Solving -2x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. -2x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 -2x + 0 = 0 + 11y -2x = 0 + 11y Remove the zero: -2x = 11y Divide each side by '-2'. x = -5.5y Simplifying x = -5.5y
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