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Simplifying 6x + 3(2x + 17) = 147 Reorder the terms: 6x + 3(17 + 2x) = 147 6x + (17 * 3 + 2x * 3) = 147 6x + (51 + 6x) = 147 Reorder the terms: 51 + 6x + 6x = 147 Combine like terms: 6x + 6x = 12x 51 + 12x = 147 Solving 51 + 12x = 147 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 12x = 147 + -51 Combine like terms: 51 + -51 = 0 0 + 12x = 147 + -51 12x = 147 + -51 Combine like terms: 147 + -51 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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