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Simplifying (3x + -1y + 2z) + -1(-2x + -8y + -3z) = 0 Remove parenthesis around (3x + -1y + 2z) 3x + -1y + 2z + -1(-2x + -8y + -3z) = 0 3x + -1y + 2z + (-2x * -1 + -8y * -1 + -3z * -1) = 0 3x + -1y + 2z + (2x + 8y + 3z) = 0 Reorder the terms: 3x + 2x + -1y + 8y + 2z + 3z = 0 Combine like terms: 3x + 2x = 5x 5x + -1y + 8y + 2z + 3z = 0 Combine like terms: -1y + 8y = 7y 5x + 7y + 2z + 3z = 0 Combine like terms: 2z + 3z = 5z 5x + 7y + 5z = 0 Solving 5x + 7y + 5z = 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. 5x + 7y + -7y + 5z = 0 + -7y Combine like terms: 7y + -7y = 0 5x + 0 + 5z = 0 + -7y 5x + 5z = 0 + -7y Remove the zero: 5x + 5z = -7y Add '-5z' to each side of the equation. 5x + 5z + -5z = -7y + -5z Combine like terms: 5z + -5z = 0 5x + 0 = -7y + -5z 5x = -7y + -5z Divide each side by '5'. x = -1.4y + -1z Simplifying x = -1.4y + -1z
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