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Simplifying (X + 7) + (x + 7) * 2 + 3x + x + 1 = 182 Reorder the terms: (7 + X) + (x + 7) * 2 + 3x + x + 1 = 182 Remove parenthesis around (7 + X) 7 + X + (x + 7) * 2 + 3x + x + 1 = 182 Reorder the terms: 7 + X + (7 + x) * 2 + 3x + x + 1 = 182 Reorder the terms for easier multiplication: 7 + X + 2(7 + x) + 3x + x + 1 = 182 7 + X + (7 * 2 + x * 2) + 3x + x + 1 = 182 7 + X + (14 + 2x) + 3x + x + 1 = 182 Reorder the terms: 7 + 14 + 1 + X + 2x + 3x + x = 182 Combine like terms: 7 + 14 = 21 21 + 1 + X + 2x + 3x + x = 182 Combine like terms: 21 + 1 = 22 22 + X + 2x + 3x + x = 182 Combine like terms: 2x + 3x = 5x 22 + X + 5x + x = 182 Combine like terms: 5x + x = 6x 22 + X + 6x = 182 Solving 22 + X + 6x = 182 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + X + -22 + 6x = 182 + -22 Reorder the terms: 22 + -22 + X + 6x = 182 + -22 Combine like terms: 22 + -22 = 0 0 + X + 6x = 182 + -22 X + 6x = 182 + -22 Combine like terms: 182 + -22 = 160 X + 6x = 160 Add '-6x' to each side of the equation. X + 6x + -6x = 160 + -6x Combine like terms: 6x + -6x = 0 X + 0 = 160 + -6x X = 160 + -6x Simplifying X = 160 + -6x
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