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Simplifying 3x + 5y + 12z + -59.67 = 0 Reorder the terms: -59.67 + 3x + 5y + 12z = 0 Solving -59.67 + 3x + 5y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59.67' to each side of the equation. -59.67 + 3x + 5y + 59.67 + 12z = 0 + 59.67 Reorder the terms: -59.67 + 59.67 + 3x + 5y + 12z = 0 + 59.67 Combine like terms: -59.67 + 59.67 = 0.00 0.00 + 3x + 5y + 12z = 0 + 59.67 3x + 5y + 12z = 0 + 59.67 Combine like terms: 0 + 59.67 = 59.67 3x + 5y + 12z = 59.67 Add '-5y' to each side of the equation. 3x + 5y + -5y + 12z = 59.67 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + 12z = 59.67 + -5y 3x + 12z = 59.67 + -5y Add '-12z' to each side of the equation. 3x + 12z + -12z = 59.67 + -5y + -12z Combine like terms: 12z + -12z = 0 3x + 0 = 59.67 + -5y + -12z 3x = 59.67 + -5y + -12z Divide each side by '3'. x = 19.89 + -1.666666667y + -4z Simplifying x = 19.89 + -1.666666667y + -4z
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