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Simplifying 4(2x + 8) + 2(2x + 3) = 182 Reorder the terms: 4(8 + 2x) + 2(2x + 3) = 182 (8 * 4 + 2x * 4) + 2(2x + 3) = 182 (32 + 8x) + 2(2x + 3) = 182 Reorder the terms: 32 + 8x + 2(3 + 2x) = 182 32 + 8x + (3 * 2 + 2x * 2) = 182 32 + 8x + (6 + 4x) = 182 Reorder the terms: 32 + 6 + 8x + 4x = 182 Combine like terms: 32 + 6 = 38 38 + 8x + 4x = 182 Combine like terms: 8x + 4x = 12x 38 + 12x = 182 Solving 38 + 12x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 12x = 182 + -38 Combine like terms: 38 + -38 = 0 0 + 12x = 182 + -38 12x = 182 + -38 Combine like terms: 182 + -38 = 144 12x = 144 Divide each side by '12'. x = 12 Simplifying x = 12
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