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Simplifying 2x + -3y + -2z = 4x + 3y Solving 2x + -3y + -2z = 4x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2x + -3y + -4x + -2z = 4x + -4x + 3y Reorder the terms: 2x + -4x + -3y + -2z = 4x + -4x + 3y Combine like terms: 2x + -4x = -2x -2x + -3y + -2z = 4x + -4x + 3y Combine like terms: 4x + -4x = 0 -2x + -3y + -2z = 0 + 3y -2x + -3y + -2z = 3y Add '3y' to each side of the equation. -2x + -3y + 3y + -2z = 3y + 3y Combine like terms: -3y + 3y = 0 -2x + 0 + -2z = 3y + 3y -2x + -2z = 3y + 3y Combine like terms: 3y + 3y = 6y -2x + -2z = 6y Add '2z' to each side of the equation. -2x + -2z + 2z = 6y + 2z Combine like terms: -2z + 2z = 0 -2x + 0 = 6y + 2z -2x = 6y + 2z Divide each side by '-2'. x = -3y + -1z Simplifying x = -3y + -1z
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