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Simplifying (3x + -1y + 2x) + -1(-2x + -8y + -3z) = 0 Reorder the terms: (3x + 2x + -1y) + -1(-2x + -8y + -3z) = 0 Combine like terms: 3x + 2x = 5x (5x + -1y) + -1(-2x + -8y + -3z) = 0 Remove parenthesis around (5x + -1y) 5x + -1y + -1(-2x + -8y + -3z) = 0 5x + -1y + (-2x * -1 + -8y * -1 + -3z * -1) = 0 5x + -1y + (2x + 8y + 3z) = 0 Reorder the terms: 5x + 2x + -1y + 8y + 3z = 0 Combine like terms: 5x + 2x = 7x 7x + -1y + 8y + 3z = 0 Combine like terms: -1y + 8y = 7y 7x + 7y + 3z = 0 Solving 7x + 7y + 3z = 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. 7x + 7y + -7y + 3z = 0 + -7y Combine like terms: 7y + -7y = 0 7x + 0 + 3z = 0 + -7y 7x + 3z = 0 + -7y Remove the zero: 7x + 3z = -7y Add '-3z' to each side of the equation. 7x + 3z + -3z = -7y + -3z Combine like terms: 3z + -3z = 0 7x + 0 = -7y + -3z 7x = -7y + -3z Divide each side by '7'. x = -1y + -0.4285714286z Simplifying x = -1y + -0.4285714286z
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