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Simplifying 9(2x + 4) + -3x = 51 Reorder the terms: 9(4 + 2x) + -3x = 51 (4 * 9 + 2x * 9) + -3x = 51 (36 + 18x) + -3x = 51 Combine like terms: 18x + -3x = 15x 36 + 15x = 51 Solving 36 + 15x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 15x = 51 + -36 Combine like terms: 36 + -36 = 0 0 + 15x = 51 + -36 15x = 51 + -36 Combine like terms: 51 + -36 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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