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Simplifying -5(-2x + 2y) + 6(-7y + -1x) = 0 (-2x * -5 + 2y * -5) + 6(-7y + -1x) = 0 (10x + -10y) + 6(-7y + -1x) = 0 Reorder the terms: 10x + -10y + 6(-1x + -7y) = 0 10x + -10y + (-1x * 6 + -7y * 6) = 0 10x + -10y + (-6x + -42y) = 0 Reorder the terms: 10x + -6x + -10y + -42y = 0 Combine like terms: 10x + -6x = 4x 4x + -10y + -42y = 0 Combine like terms: -10y + -42y = -52y 4x + -52y = 0 Solving 4x + -52y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52y' to each side of the equation. 4x + -52y + 52y = 0 + 52y Combine like terms: -52y + 52y = 0 4x + 0 = 0 + 52y 4x = 0 + 52y Remove the zero: 4x = 52y Divide each side by '4'. x = 13y Simplifying x = 13y
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