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Simplifying (x + y + 5z) + -1(2x + -8y + z) = 0 Remove parenthesis around (x + y + 5z) x + y + 5z + -1(2x + -8y + z) = 0 x + y + 5z + (2x * -1 + -8y * -1 + z * -1) = 0 x + y + 5z + (-2x + 8y + -1z) = 0 Reorder the terms: x + -2x + y + 8y + 5z + -1z = 0 Combine like terms: x + -2x = -1x -1x + y + 8y + 5z + -1z = 0 Combine like terms: y + 8y = 9y -1x + 9y + 5z + -1z = 0 Combine like terms: 5z + -1z = 4z -1x + 9y + 4z = 0 Solving -1x + 9y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -1x + 9y + -9y + 4z = 0 + -9y Combine like terms: 9y + -9y = 0 -1x + 0 + 4z = 0 + -9y -1x + 4z = 0 + -9y Remove the zero: -1x + 4z = -9y Add '-4z' to each side of the equation. -1x + 4z + -4z = -9y + -4z Combine like terms: 4z + -4z = 0 -1x + 0 = -9y + -4z -1x = -9y + -4z Divide each side by '-1'. x = 9y + 4z Simplifying x = 9y + 4z
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