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Simplifying X + [5 + 3X + -1(2X + 1)] = 18 Reorder the terms: X + [5 + 3X + -1(1 + 2X)] = 18 X + [5 + 3X + (1 * -1 + 2X * -1)] = 18 X + [5 + 3X + (-1 + -2X)] = 18 Reorder the terms: X + [5 + -1 + 3X + -2X] = 18 Combine like terms: 5 + -1 = 4 X + [4 + 3X + -2X] = 18 Combine like terms: 3X + -2X = 1X X + [4 + 1X] = 18 Remove brackets around [4 + 1X] X + 4 + 1X = 18 Reorder the terms: 4 + X + 1X = 18 Combine like terms: X + 1X = 2X 4 + 2X = 18 Solving 4 + 2X = 18 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 = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 2X = 18 + -4 2X = 18 + -4 Combine like terms: 18 + -4 = 14 2X = 14 Divide each side by '2'. X = 7 Simplifying X = 7
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