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Simplifying 6x + 7(x + 5) = 347 Reorder the terms: 6x + 7(5 + x) = 347 6x + (5 * 7 + x * 7) = 347 6x + (35 + 7x) = 347 Reorder the terms: 35 + 6x + 7x = 347 Combine like terms: 6x + 7x = 13x 35 + 13x = 347 Solving 35 + 13x = 347 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 + 13x = 347 + -35 Combine like terms: 35 + -35 = 0 0 + 13x = 347 + -35 13x = 347 + -35 Combine like terms: 347 + -35 = 312 13x = 312 Divide each side by '13'. x = 24 Simplifying x = 24
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