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Simplifying (8x + -1y) + -1(4x + -7y) = 0 Remove parenthesis around (8x + -1y) 8x + -1y + -1(4x + -7y) = 0 8x + -1y + (4x * -1 + -7y * -1) = 0 8x + -1y + (-4x + 7y) = 0 Reorder the terms: 8x + -4x + -1y + 7y = 0 Combine like terms: 8x + -4x = 4x 4x + -1y + 7y = 0 Combine like terms: -1y + 7y = 6y 4x + 6y = 0 Solving 4x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 4x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 4x + 0 = 0 + -6y 4x = 0 + -6y Remove the zero: 4x = -6y Divide each side by '4'. x = -1.5y Simplifying x = -1.5y
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