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Simplifying 4x + -6y + 4z = 10 Solving 4x + -6y + 4z = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 4x + -6y + 6y + 4z = 10 + 6y Combine like terms: -6y + 6y = 0 4x + 0 + 4z = 10 + 6y 4x + 4z = 10 + 6y Add '-4z' to each side of the equation. 4x + 4z + -4z = 10 + 6y + -4z Combine like terms: 4z + -4z = 0 4x + 0 = 10 + 6y + -4z 4x = 10 + 6y + -4z Divide each side by '4'. x = 2.5 + 1.5y + -1z Simplifying x = 2.5 + 1.5y + -1z
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