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Simplifying 3x + 5y + 8z + 10 = 0 Reorder the terms: 10 + 3x + 5y + 8z = 0 Solving 10 + 3x + 5y + 8z = 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 + 5y + -10 + 8z = 0 + -10 Reorder the terms: 10 + -10 + 3x + 5y + 8z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x + 5y + 8z = 0 + -10 3x + 5y + 8z = 0 + -10 Combine like terms: 0 + -10 = -10 3x + 5y + 8z = -10 Add '-5y' to each side of the equation. 3x + 5y + -5y + 8z = -10 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + 8z = -10 + -5y 3x + 8z = -10 + -5y Add '-8z' to each side of the equation. 3x + 8z + -8z = -10 + -5y + -8z Combine like terms: 8z + -8z = 0 3x + 0 = -10 + -5y + -8z 3x = -10 + -5y + -8z Divide each side by '3'. x = -3.333333333 + -1.666666667y + -2.666666667z Simplifying x = -3.333333333 + -1.666666667y + -2.666666667z
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