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Simplifying 5x + -3y + 2z + 4 = 0 Reorder the terms: 4 + 5x + -3y + 2z = 0 Solving 4 + 5x + -3y + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5x + -3y + -4 + 2z = 0 + -4 Reorder the terms: 4 + -4 + 5x + -3y + 2z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x + -3y + 2z = 0 + -4 5x + -3y + 2z = 0 + -4 Combine like terms: 0 + -4 = -4 5x + -3y + 2z = -4 Add '3y' to each side of the equation. 5x + -3y + 3y + 2z = -4 + 3y Combine like terms: -3y + 3y = 0 5x + 0 + 2z = -4 + 3y 5x + 2z = -4 + 3y Add '-2z' to each side of the equation. 5x + 2z + -2z = -4 + 3y + -2z Combine like terms: 2z + -2z = 0 5x + 0 = -4 + 3y + -2z 5x = -4 + 3y + -2z Divide each side by '5'. x = -0.8 + 0.6y + -0.4z Simplifying x = -0.8 + 0.6y + -0.4z
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