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Simplifying 4x + -2y + 4z + 14 = 0 Reorder the terms: 14 + 4x + -2y + 4z = 0 Solving 14 + 4x + -2y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 4x + -2y + -14 + 4z = 0 + -14 Reorder the terms: 14 + -14 + 4x + -2y + 4z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4x + -2y + 4z = 0 + -14 4x + -2y + 4z = 0 + -14 Combine like terms: 0 + -14 = -14 4x + -2y + 4z = -14 Add '2y' to each side of the equation. 4x + -2y + 2y + 4z = -14 + 2y Combine like terms: -2y + 2y = 0 4x + 0 + 4z = -14 + 2y 4x + 4z = -14 + 2y Add '-4z' to each side of the equation. 4x + 4z + -4z = -14 + 2y + -4z Combine like terms: 4z + -4z = 0 4x + 0 = -14 + 2y + -4z 4x = -14 + 2y + -4z Divide each side by '4'. x = -3.5 + 0.5y + -1z Simplifying x = -3.5 + 0.5y + -1z
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