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Simplifying 4x + -2y + 3z = 6y + 2z + -5y Reorder the terms: 4x + -2y + 3z = 6y + -5y + 2z Combine like terms: 6y + -5y = 1y 4x + -2y + 3z = 1y + 2z Solving 4x + -2y + 3z = 1y + 2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 4x + -2y + 2y + 3z = 1y + 2y + 2z Combine like terms: -2y + 2y = 0 4x + 0 + 3z = 1y + 2y + 2z 4x + 3z = 1y + 2y + 2z Combine like terms: 1y + 2y = 3y 4x + 3z = 3y + 2z Add '-3z' to each side of the equation. 4x + 3z + -3z = 3y + 2z + -3z Combine like terms: 3z + -3z = 0 4x + 0 = 3y + 2z + -3z 4x = 3y + 2z + -3z Combine like terms: 2z + -3z = -1z 4x = 3y + -1z Divide each side by '4'. x = 0.75y + -0.25z Simplifying x = 0.75y + -0.25z
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