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Simplifying 2(2x + 1) + x = x + 2x + 18 Reorder the terms: 2(1 + 2x) + x = x + 2x + 18 (1 * 2 + 2x * 2) + x = x + 2x + 18 (2 + 4x) + x = x + 2x + 18 Combine like terms: 4x + x = 5x 2 + 5x = x + 2x + 18 Reorder the terms: 2 + 5x = 18 + x + 2x Combine like terms: x + 2x = 3x 2 + 5x = 18 + 3x Solving 2 + 5x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 5x + -3x = 18 + 3x + -3x Combine like terms: 5x + -3x = 2x 2 + 2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 2x = 18 + 0 2 + 2x = 18 Add '-2' to each side of the equation. 2 + -2 + 2x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 18 + -2 2x = 18 + -2 Combine like terms: 18 + -2 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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