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