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Simplifying 2x + 3y + -4z + 10 = 0 Reorder the terms: 10 + 2x + 3y + -4z = 0 Solving 10 + 2x + 3y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2x + 3y + -10 + -4z = 0 + -10 Reorder the terms: 10 + -10 + 2x + 3y + -4z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x + 3y + -4z = 0 + -10 2x + 3y + -4z = 0 + -10 Combine like terms: 0 + -10 = -10 2x + 3y + -4z = -10 Add '-3y' to each side of the equation. 2x + 3y + -3y + -4z = -10 + -3y Combine like terms: 3y + -3y = 0 2x + 0 + -4z = -10 + -3y 2x + -4z = -10 + -3y Add '4z' to each side of the equation. 2x + -4z + 4z = -10 + -3y + 4z Combine like terms: -4z + 4z = 0 2x + 0 = -10 + -3y + 4z 2x = -10 + -3y + 4z Divide each side by '2'. x = -5 + -1.5y + 2z Simplifying x = -5 + -1.5y + 2z
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