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Simplifying X + (7x + -4y) + -1(2x + -9y) = 0 Remove parenthesis around (7x + -4y) X + 7x + -4y + -1(2x + -9y) = 0 X + 7x + -4y + (2x * -1 + -9y * -1) = 0 X + 7x + -4y + (-2x + 9y) = 0 Reorder the terms: X + 7x + -2x + -4y + 9y = 0 Combine like terms: 7x + -2x = 5x X + 5x + -4y + 9y = 0 Combine like terms: -4y + 9y = 5y X + 5x + 5y = 0 Solving X + 5x + 5y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5x' to each side of the equation. X + 5x + -5x + 5y = 0 + -5x Combine like terms: 5x + -5x = 0 X + 0 + 5y = 0 + -5x X + 5y = 0 + -5x Remove the zero: X + 5y = -5x Add '-5y' to each side of the equation. X + 5y + -5y = -5x + -5y Combine like terms: 5y + -5y = 0 X + 0 = -5x + -5y X = -5x + -5y Simplifying X = -5x + -5y
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