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Simplifying 3(2x + 1) + (x + 1) = 11 Reorder the terms: 3(1 + 2x) + (x + 1) = 11 (1 * 3 + 2x * 3) + (x + 1) = 11 (3 + 6x) + (x + 1) = 11 Reorder the terms: 3 + 6x + (1 + x) = 11 Remove parenthesis around (1 + x) 3 + 6x + 1 + x = 11 Reorder the terms: 3 + 1 + 6x + x = 11 Combine like terms: 3 + 1 = 4 4 + 6x + x = 11 Combine like terms: 6x + x = 7x 4 + 7x = 11 Solving 4 + 7x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 11 + -4 7x = 11 + -4 Combine like terms: 11 + -4 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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