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