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