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Simplifying 3(2x + 1) + x = 5x + 11 Reorder the terms: 3(1 + 2x) + x = 5x + 11 (1 * 3 + 2x * 3) + x = 5x + 11 (3 + 6x) + x = 5x + 11 Combine like terms: 6x + x = 7x 3 + 7x = 5x + 11 Reorder the terms: 3 + 7x = 11 + 5x Solving 3 + 7x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 7x + -5x = 11 + 5x + -5x Combine like terms: 7x + -5x = 2x 3 + 2x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 2x = 11 + 0 3 + 2x = 11 Add '-3' to each side of the equation. 3 + -3 + 2x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 11 + -3 2x = 11 + -3 Combine like terms: 11 + -3 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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