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Simplifying [X + (x + 7)] * 0.5 = 105 Reorder the terms: [X + (7 + x)] * 0.5 = 105 Remove parenthesis around (7 + x) [X + 7 + x] * 0.5 = 105 Reorder the terms: [7 + X + x] * 0.5 = 105 Reorder the terms for easier multiplication: 0.5[7 + X + x] = 105 [7 * 0.5 + X * 0.5 + x * 0.5] = 105 [3.5 + 0.5X + 0.5x] = 105 Solving 3.5 + 0.5X + 0.5x = 105 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + 0.5X + -3.5 + 0.5x = 105 + -3.5 Reorder the terms: 3.5 + -3.5 + 0.5X + 0.5x = 105 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.5X + 0.5x = 105 + -3.5 0.5X + 0.5x = 105 + -3.5 Combine like terms: 105 + -3.5 = 101.5 0.5X + 0.5x = 101.5 Add '-0.5x' to each side of the equation. 0.5X + 0.5x + -0.5x = 101.5 + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.5X + 0.0 = 101.5 + -0.5x 0.5X = 101.5 + -0.5x Divide each side by '0.5'. X = 203 + -1x Simplifying X = 203 + -1x
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