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Simplifying (5x + -7y + 8z) + -1(-2x + 3y + -1z) = 0 Remove parenthesis around (5x + -7y + 8z) 5x + -7y + 8z + -1(-2x + 3y + -1z) = 0 5x + -7y + 8z + (-2x * -1 + 3y * -1 + -1z * -1) = 0 5x + -7y + 8z + (2x + -3y + 1z) = 0 Reorder the terms: 5x + 2x + -7y + -3y + 8z + 1z = 0 Combine like terms: 5x + 2x = 7x 7x + -7y + -3y + 8z + 1z = 0 Combine like terms: -7y + -3y = -10y 7x + -10y + 8z + 1z = 0 Combine like terms: 8z + 1z = 9z 7x + -10y + 9z = 0 Solving 7x + -10y + 9z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 7x + -10y + 10y + 9z = 0 + 10y Combine like terms: -10y + 10y = 0 7x + 0 + 9z = 0 + 10y 7x + 9z = 0 + 10y Remove the zero: 7x + 9z = 10y Add '-9z' to each side of the equation. 7x + 9z + -9z = 10y + -9z Combine like terms: 9z + -9z = 0 7x + 0 = 10y + -9z 7x = 10y + -9z Divide each side by '7'. x = 1.428571429y + -1.285714286z Simplifying x = 1.428571429y + -1.285714286z
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