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Simplifying 2(1 + 8x) = 38 + 4x (1 * 2 + 8x * 2) = 38 + 4x (2 + 16x) = 38 + 4x Solving 2 + 16x = 38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 16x + -4x = 38 + 4x + -4x Combine like terms: 16x + -4x = 12x 2 + 12x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 12x = 38 + 0 2 + 12x = 38 Add '-2' to each side of the equation. 2 + -2 + 12x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 38 + -2 12x = 38 + -2 Combine like terms: 38 + -2 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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