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Simplifying (3x + 2y + -5z) + (2x + y + -2z) = 0 Remove parenthesis around (3x + 2y + -5z) 3x + 2y + -5z + (2x + y + -2z) = 0 Remove parenthesis around (2x + y + -2z) 3x + 2y + -5z + 2x + y + -2z = 0 Reorder the terms: 3x + 2x + 2y + y + -5z + -2z = 0 Combine like terms: 3x + 2x = 5x 5x + 2y + y + -5z + -2z = 0 Combine like terms: 2y + y = 3y 5x + 3y + -5z + -2z = 0 Combine like terms: -5z + -2z = -7z 5x + 3y + -7z = 0 Solving 5x + 3y + -7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 5x + 3y + -3y + -7z = 0 + -3y Combine like terms: 3y + -3y = 0 5x + 0 + -7z = 0 + -3y 5x + -7z = 0 + -3y Remove the zero: 5x + -7z = -3y Add '7z' to each side of the equation. 5x + -7z + 7z = -3y + 7z Combine like terms: -7z + 7z = 0 5x + 0 = -3y + 7z 5x = -3y + 7z Divide each side by '5'. x = -0.6y + 1.4z Simplifying x = -0.6y + 1.4z
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