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Simplifying (x + -8y) + -1(2x + -4y) = 0 Remove parenthesis around (x + -8y) x + -8y + -1(2x + -4y) = 0 x + -8y + (2x * -1 + -4y * -1) = 0 x + -8y + (-2x + 4y) = 0 Reorder the terms: x + -2x + -8y + 4y = 0 Combine like terms: x + -2x = -1x -1x + -8y + 4y = 0 Combine like terms: -8y + 4y = -4y -1x + -4y = 0 Solving -1x + -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. -1x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 -1x + 0 = 0 + 4y -1x = 0 + 4y Remove the zero: -1x = 4y Divide each side by '-1'. x = -4y Simplifying x = -4y
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