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Simplifying 6x + 5(7x + 7) = 117 Reorder the terms: 6x + 5(7 + 7x) = 117 6x + (7 * 5 + 7x * 5) = 117 6x + (35 + 35x) = 117 Reorder the terms: 35 + 6x + 35x = 117 Combine like terms: 6x + 35x = 41x 35 + 41x = 117 Solving 35 + 41x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 41x = 117 + -35 Combine like terms: 35 + -35 = 0 0 + 41x = 117 + -35 41x = 117 + -35 Combine like terms: 117 + -35 = 82 41x = 82 Divide each side by '41'. x = 2 Simplifying x = 2
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