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Simplifying 3x + -4y + 1z + 10 = 0 Reorder the terms: 10 + 3x + -4y + 1z = 0 Solving 10 + 3x + -4y + 1z = 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 + 3x + -4y + -10 + 1z = 0 + -10 Reorder the terms: 10 + -10 + 3x + -4y + 1z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x + -4y + 1z = 0 + -10 3x + -4y + 1z = 0 + -10 Combine like terms: 0 + -10 = -10 3x + -4y + 1z = -10 Add '4y' to each side of the equation. 3x + -4y + 4y + 1z = -10 + 4y Combine like terms: -4y + 4y = 0 3x + 0 + 1z = -10 + 4y 3x + 1z = -10 + 4y Add '-1z' to each side of the equation. 3x + 1z + -1z = -10 + 4y + -1z Combine like terms: 1z + -1z = 0 3x + 0 = -10 + 4y + -1z 3x = -10 + 4y + -1z Divide each side by '3'. x = -3.333333333 + 1.333333333y + -0.3333333333z Simplifying x = -3.333333333 + 1.333333333y + -0.3333333333z
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