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Simplifying 12z3 + 5z2 + -3x = 0 Reorder the terms: -3x + 5z2 + 12z3 = 0 Solving -3x + 5z2 + 12z3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5z2' to each side of the equation. -3x + 5z2 + -5z2 + 12z3 = 0 + -5z2 Combine like terms: 5z2 + -5z2 = 0 -3x + 0 + 12z3 = 0 + -5z2 -3x + 12z3 = 0 + -5z2 Remove the zero: -3x + 12z3 = -5z2 Add '-12z3' to each side of the equation. -3x + 12z3 + -12z3 = -5z2 + -12z3 Combine like terms: 12z3 + -12z3 = 0 -3x + 0 = -5z2 + -12z3 -3x = -5z2 + -12z3 Divide each side by '-3'. x = 1.666666667z2 + 4z3 Simplifying x = 1.666666667z2 + 4z3
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