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Simplifying 3(6 + -8x) + 9(2x + 1) = 2 (6 * 3 + -8x * 3) + 9(2x + 1) = 2 (18 + -24x) + 9(2x + 1) = 2 Reorder the terms: 18 + -24x + 9(1 + 2x) = 2 18 + -24x + (1 * 9 + 2x * 9) = 2 18 + -24x + (9 + 18x) = 2 Reorder the terms: 18 + 9 + -24x + 18x = 2 Combine like terms: 18 + 9 = 27 27 + -24x + 18x = 2 Combine like terms: -24x + 18x = -6x 27 + -6x = 2 Solving 27 + -6x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -6x = 2 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = 2 + -27 -6x = 2 + -27 Combine like terms: 2 + -27 = -25 -6x = -25 Divide each side by '-6'. x = 4.166666667 Simplifying x = 4.166666667
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