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Simplifying -2(-1x + -2y) + -5(-5y + -5x) = 0 (-1x * -2 + -2y * -2) + -5(-5y + -5x) = 0 (2x + 4y) + -5(-5y + -5x) = 0 Reorder the terms: 2x + 4y + -5(-5x + -5y) = 0 2x + 4y + (-5x * -5 + -5y * -5) = 0 2x + 4y + (25x + 25y) = 0 Reorder the terms: 2x + 25x + 4y + 25y = 0 Combine like terms: 2x + 25x = 27x 27x + 4y + 25y = 0 Combine like terms: 4y + 25y = 29y 27x + 29y = 0 Solving 27x + 29y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29y' to each side of the equation. 27x + 29y + -29y = 0 + -29y Combine like terms: 29y + -29y = 0 27x + 0 = 0 + -29y 27x = 0 + -29y Remove the zero: 27x = -29y Divide each side by '27'. x = -1.074074074y Simplifying x = -1.074074074y
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