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Simplifying 6x + 7(x + 6) = 172 Reorder the terms: 6x + 7(6 + x) = 172 6x + (6 * 7 + x * 7) = 172 6x + (42 + 7x) = 172 Reorder the terms: 42 + 6x + 7x = 172 Combine like terms: 6x + 7x = 13x 42 + 13x = 172 Solving 42 + 13x = 172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 13x = 172 + -42 Combine like terms: 42 + -42 = 0 0 + 13x = 172 + -42 13x = 172 + -42 Combine like terms: 172 + -42 = 130 13x = 130 Divide each side by '13'. x = 10 Simplifying x = 10
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