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Simplifying (x + 2) * 2 + (2x + -1) * 2 = 81 Reorder the terms: (2 + x) * 2 + (2x + -1) * 2 = 81 Reorder the terms for easier multiplication: 2(2 + x) + (2x + -1) * 2 = 81 (2 * 2 + x * 2) + (2x + -1) * 2 = 81 (4 + 2x) + (2x + -1) * 2 = 81 Reorder the terms: 4 + 2x + (-1 + 2x) * 2 = 81 Reorder the terms for easier multiplication: 4 + 2x + 2(-1 + 2x) = 81 4 + 2x + (-1 * 2 + 2x * 2) = 81 4 + 2x + (-2 + 4x) = 81 Reorder the terms: 4 + -2 + 2x + 4x = 81 Combine like terms: 4 + -2 = 2 2 + 2x + 4x = 81 Combine like terms: 2x + 4x = 6x 2 + 6x = 81 Solving 2 + 6x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 81 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 81 + -2 6x = 81 + -2 Combine like terms: 81 + -2 = 79 6x = 79 Divide each side by '6'. x = 13.16666667 Simplifying x = 13.16666667
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