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Simplifying 4x + -2y + 5z = 6 Solving 4x + -2y + 5z = 6 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 + 5z = 6 + 2y Combine like terms: -2y + 2y = 0 4x + 0 + 5z = 6 + 2y 4x + 5z = 6 + 2y Add '-5z' to each side of the equation. 4x + 5z + -5z = 6 + 2y + -5z Combine like terms: 5z + -5z = 0 4x + 0 = 6 + 2y + -5z 4x = 6 + 2y + -5z Divide each side by '4'. x = 1.5 + 0.5y + -1.25z Simplifying x = 1.5 + 0.5y + -1.25z
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