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Simplifying 2(2x + 3) + -2(x + 1) = 11 Reorder the terms: 2(3 + 2x) + -2(x + 1) = 11 (3 * 2 + 2x * 2) + -2(x + 1) = 11 (6 + 4x) + -2(x + 1) = 11 Reorder the terms: 6 + 4x + -2(1 + x) = 11 6 + 4x + (1 * -2 + x * -2) = 11 6 + 4x + (-2 + -2x) = 11 Reorder the terms: 6 + -2 + 4x + -2x = 11 Combine like terms: 6 + -2 = 4 4 + 4x + -2x = 11 Combine like terms: 4x + -2x = 2x 4 + 2x = 11 Solving 4 + 2x = 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 + 2x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 11 + -4 2x = 11 + -4 Combine like terms: 11 + -4 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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