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Simplifying (-4y + -1x) + -1(3y + -9x) = 0 Reorder the terms: (-1x + -4y) + -1(3y + -9x) = 0 Remove parenthesis around (-1x + -4y) -1x + -4y + -1(3y + -9x) = 0 Reorder the terms: -1x + -4y + -1(-9x + 3y) = 0 -1x + -4y + (-9x * -1 + 3y * -1) = 0 -1x + -4y + (9x + -3y) = 0 Reorder the terms: -1x + 9x + -4y + -3y = 0 Combine like terms: -1x + 9x = 8x 8x + -4y + -3y = 0 Combine like terms: -4y + -3y = -7y 8x + -7y = 0 Solving 8x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 8x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 8x + 0 = 0 + 7y 8x = 0 + 7y Remove the zero: 8x = 7y Divide each side by '8'. x = 0.875y Simplifying x = 0.875y
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