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Simplifying 2x + 3y = 4x + 2y + z Solving 2x + 3y = 4x + 2y + z 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 + -4x + 3y = 4x + 2y + -4x + z Combine like terms: 2x + -4x = -2x -2x + 3y = 4x + 2y + -4x + z Reorder the terms: -2x + 3y = 4x + -4x + 2y + z Combine like terms: 4x + -4x = 0 -2x + 3y = 0 + 2y + z -2x + 3y = 2y + z Add '-3y' to each side of the equation. -2x + 3y + -3y = 2y + -3y + z Combine like terms: 3y + -3y = 0 -2x + 0 = 2y + -3y + z -2x = 2y + -3y + z Combine like terms: 2y + -3y = -1y -2x = -1y + z Divide each side by '-2'. x = 0.5y + -0.5z Simplifying x = 0.5y + -0.5z
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