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Simplifying 6(3 + -2x) + 11z + -4 = 0 (3 * 6 + -2x * 6) + 11z + -4 = 0 (18 + -12x) + 11z + -4 = 0 Reorder the terms: 18 + -4 + -12x + 11z = 0 Combine like terms: 18 + -4 = 14 14 + -12x + 11z = 0 Solving 14 + -12x + 11z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -12x + -14 + 11z = 0 + -14 Reorder the terms: 14 + -14 + -12x + 11z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -12x + 11z = 0 + -14 -12x + 11z = 0 + -14 Combine like terms: 0 + -14 = -14 -12x + 11z = -14 Add '-11z' to each side of the equation. -12x + 11z + -11z = -14 + -11z Combine like terms: 11z + -11z = 0 -12x + 0 = -14 + -11z -12x = -14 + -11z Divide each side by '-12'. x = 1.166666667 + 0.9166666667z Simplifying x = 1.166666667 + 0.9166666667z
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