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Simplifying (x + -2y) + -1(5x + -7y) = 0 Remove parenthesis around (x + -2y) x + -2y + -1(5x + -7y) = 0 x + -2y + (5x * -1 + -7y * -1) = 0 x + -2y + (-5x + 7y) = 0 Reorder the terms: x + -5x + -2y + 7y = 0 Combine like terms: x + -5x = -4x -4x + -2y + 7y = 0 Combine like terms: -2y + 7y = 5y -4x + 5y = 0 Solving -4x + 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. -4x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -4x + 0 = 0 + -5y -4x = 0 + -5y Remove the zero: -4x = -5y Divide each side by '-4'. x = 1.25y Simplifying x = 1.25y
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