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Simplifying 4x + 2y + 6z + 3 = 0 Reorder the terms: 3 + 4x + 2y + 6z = 0 Solving 3 + 4x + 2y + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4x + 2y + -3 + 6z = 0 + -3 Reorder the terms: 3 + -3 + 4x + 2y + 6z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x + 2y + 6z = 0 + -3 4x + 2y + 6z = 0 + -3 Combine like terms: 0 + -3 = -3 4x + 2y + 6z = -3 Add '-2y' to each side of the equation. 4x + 2y + -2y + 6z = -3 + -2y Combine like terms: 2y + -2y = 0 4x + 0 + 6z = -3 + -2y 4x + 6z = -3 + -2y Add '-6z' to each side of the equation. 4x + 6z + -6z = -3 + -2y + -6z Combine like terms: 6z + -6z = 0 4x + 0 = -3 + -2y + -6z 4x = -3 + -2y + -6z Divide each side by '4'. x = -0.75 + -0.5y + -1.5z Simplifying x = -0.75 + -0.5y + -1.5z
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