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Simplifying 3x + 3(7x + 17) = 171 Reorder the terms: 3x + 3(17 + 7x) = 171 3x + (17 * 3 + 7x * 3) = 171 3x + (51 + 21x) = 171 Reorder the terms: 51 + 3x + 21x = 171 Combine like terms: 3x + 21x = 24x 51 + 24x = 171 Solving 51 + 24x = 171 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 + 24x = 171 + -51 Combine like terms: 51 + -51 = 0 0 + 24x = 171 + -51 24x = 171 + -51 Combine like terms: 171 + -51 = 120 24x = 120 Divide each side by '24'. x = 5 Simplifying x = 5
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