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Simplifying 4x + 2(6x + 17) = 178 Reorder the terms: 4x + 2(17 + 6x) = 178 4x + (17 * 2 + 6x * 2) = 178 4x + (34 + 12x) = 178 Reorder the terms: 34 + 4x + 12x = 178 Combine like terms: 4x + 12x = 16x 34 + 16x = 178 Solving 34 + 16x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 16x = 178 + -34 Combine like terms: 34 + -34 = 0 0 + 16x = 178 + -34 16x = 178 + -34 Combine like terms: 178 + -34 = 144 16x = 144 Divide each side by '16'. x = 9 Simplifying x = 9
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