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Simplifying [X + (x + 7)] * 5 = 105 Reorder the terms: [X + (7 + x)] * 5 = 105 Remove parenthesis around (7 + x) [X + 7 + x] * 5 = 105 Reorder the terms: [7 + X + x] * 5 = 105 Reorder the terms for easier multiplication: 5[7 + X + x] = 105 [7 * 5 + X * 5 + x * 5] = 105 [35 + 5X + 5x] = 105 Solving 35 + 5X + 5x = 105 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 5X + -35 + 5x = 105 + -35 Reorder the terms: 35 + -35 + 5X + 5x = 105 + -35 Combine like terms: 35 + -35 = 0 0 + 5X + 5x = 105 + -35 5X + 5x = 105 + -35 Combine like terms: 105 + -35 = 70 5X + 5x = 70 Add '-5x' to each side of the equation. 5X + 5x + -5x = 70 + -5x Combine like terms: 5x + -5x = 0 5X + 0 = 70 + -5x 5X = 70 + -5x Divide each side by '5'. X = 14 + -1x Simplifying X = 14 + -1x
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