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Simplifying 4x + x + (4x + 6) + (4x + 6) * 2 = 166 Reorder the terms: 4x + x + (6 + 4x) + (4x + 6) * 2 = 166 Remove parenthesis around (6 + 4x) 4x + x + 6 + 4x + (4x + 6) * 2 = 166 Reorder the terms: 4x + x + 6 + 4x + (6 + 4x) * 2 = 166 Reorder the terms for easier multiplication: 4x + x + 6 + 4x + 2(6 + 4x) = 166 4x + x + 6 + 4x + (6 * 2 + 4x * 2) = 166 4x + x + 6 + 4x + (12 + 8x) = 166 Reorder the terms: 6 + 12 + 4x + x + 4x + 8x = 166 Combine like terms: 6 + 12 = 18 18 + 4x + x + 4x + 8x = 166 Combine like terms: 4x + x = 5x 18 + 5x + 4x + 8x = 166 Combine like terms: 5x + 4x = 9x 18 + 9x + 8x = 166 Combine like terms: 9x + 8x = 17x 18 + 17x = 166 Solving 18 + 17x = 166 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 17x = 166 + -18 Combine like terms: 18 + -18 = 0 0 + 17x = 166 + -18 17x = 166 + -18 Combine like terms: 166 + -18 = 148 17x = 148 Divide each side by '17'. x = 8.705882353 Simplifying x = 8.705882353
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