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Simplifying 4x + -2x + 3z = 6y + 2z + -5y Combine like terms: 4x + -2x = 2x 2x + 3z = 6y + 2z + -5y Reorder the terms: 2x + 3z = 6y + -5y + 2z Combine like terms: 6y + -5y = 1y 2x + 3z = 1y + 2z Solving 2x + 3z = 1y + 2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3z' to each side of the equation. 2x + 3z + -3z = 1y + 2z + -3z Combine like terms: 3z + -3z = 0 2x + 0 = 1y + 2z + -3z 2x = 1y + 2z + -3z Combine like terms: 2z + -3z = -1z 2x = 1y + -1z Divide each side by '2'. x = 0.5y + -0.5z Simplifying x = 0.5y + -0.5z
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