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Simplifying 33 = 11 + 0.333(6 + -12x) 33 = 11 + (6 * 0.333 + -12x * 0.333) 33 = 11 + (1.998 + -3.996x) Combine like terms: 11 + 1.998 = 12.998 33 = 12.998 + -3.996x Solving 33 = 12.998 + -3.996x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.996x' to each side of the equation. 33 + 3.996x = 12.998 + -3.996x + 3.996x Combine like terms: -3.996x + 3.996x = 0.000 33 + 3.996x = 12.998 + 0.000 33 + 3.996x = 12.998 Add '-33' to each side of the equation. 33 + -33 + 3.996x = 12.998 + -33 Combine like terms: 33 + -33 = 0 0 + 3.996x = 12.998 + -33 3.996x = 12.998 + -33 Combine like terms: 12.998 + -33 = -20.002 3.996x = -20.002 Divide each side by '3.996'. x = -5.005505506 Simplifying x = -5.005505506
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