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Simplifying (x + (3x + 2)) * 2 = 100 Reorder the terms: (x + (2 + 3x)) * 2 = 100 Remove parenthesis around (2 + 3x) (x + 2 + 3x) * 2 = 100 Reorder the terms: (2 + x + 3x) * 2 = 100 Combine like terms: x + 3x = 4x (2 + 4x) * 2 = 100 Reorder the terms for easier multiplication: 2(2 + 4x) = 100 (2 * 2 + 4x * 2) = 100 (4 + 8x) = 100 Solving 4 + 8x = 100 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 + 8x = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 100 + -4 8x = 100 + -4 Combine like terms: 100 + -4 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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