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Simplifying 2x + 5y + -8x + -1(7x + y) = 0 2x + 5y + -8x + (7x * -1 + y * -1) = 0 2x + 5y + -8x + (-7x + -1y) = 0 Reorder the terms: 2x + -8x + -7x + 5y + -1y = 0 Combine like terms: 2x + -8x = -6x -6x + -7x + 5y + -1y = 0 Combine like terms: -6x + -7x = -13x -13x + 5y + -1y = 0 Combine like terms: 5y + -1y = 4y -13x + 4y = 0 Solving -13x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -13x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -13x + 0 = 0 + -4y -13x = 0 + -4y Remove the zero: -13x = -4y Divide each side by '-13'. x = 0.3076923077y Simplifying x = 0.3076923077y
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