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Simplifying 6 = 2 + -3(2x + -9) Reorder the terms: 6 = 2 + -3(-9 + 2x) 6 = 2 + (-9 * -3 + 2x * -3) 6 = 2 + (27 + -6x) Combine like terms: 2 + 27 = 29 6 = 29 + -6x Solving 6 = 29 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + 6x = 29 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 6x = 29 + 0 6 + 6x = 29 Add '-6' to each side of the equation. 6 + -6 + 6x = 29 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 29 + -6 6x = 29 + -6 Combine like terms: 29 + -6 = 23 6x = 23 Divide each side by '6'. x = 3.833333333 Simplifying x = 3.833333333
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