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