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Simplifying 6x + 7(x + 17) = 197 Reorder the terms: 6x + 7(17 + x) = 197 6x + (17 * 7 + x * 7) = 197 6x + (119 + 7x) = 197 Reorder the terms: 119 + 6x + 7x = 197 Combine like terms: 6x + 7x = 13x 119 + 13x = 197 Solving 119 + 13x = 197 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-119' to each side of the equation. 119 + -119 + 13x = 197 + -119 Combine like terms: 119 + -119 = 0 0 + 13x = 197 + -119 13x = 197 + -119 Combine like terms: 197 + -119 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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