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Simplifying 2 + 3(2x + 3) = 12x + 18 Reorder the terms: 2 + 3(3 + 2x) = 12x + 18 2 + (3 * 3 + 2x * 3) = 12x + 18 2 + (9 + 6x) = 12x + 18 Combine like terms: 2 + 9 = 11 11 + 6x = 12x + 18 Reorder the terms: 11 + 6x = 18 + 12x Solving 11 + 6x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 11 + 6x + -12x = 18 + 12x + -12x Combine like terms: 6x + -12x = -6x 11 + -6x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -6x = 18 + 0 11 + -6x = 18 Add '-11' to each side of the equation. 11 + -11 + -6x = 18 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 18 + -11 -6x = 18 + -11 Combine like terms: 18 + -11 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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