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Simplifying 6(2x + 4) + -9x = 51 Reorder the terms: 6(4 + 2x) + -9x = 51 (4 * 6 + 2x * 6) + -9x = 51 (24 + 12x) + -9x = 51 Combine like terms: 12x + -9x = 3x 24 + 3x = 51 Solving 24 + 3x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3x = 51 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 51 + -24 3x = 51 + -24 Combine like terms: 51 + -24 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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