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Simplifying 8(2x + 1) + 4(x + 4) = 16 Reorder the terms: 8(1 + 2x) + 4(x + 4) = 16 (1 * 8 + 2x * 8) + 4(x + 4) = 16 (8 + 16x) + 4(x + 4) = 16 Reorder the terms: 8 + 16x + 4(4 + x) = 16 8 + 16x + (4 * 4 + x * 4) = 16 8 + 16x + (16 + 4x) = 16 Reorder the terms: 8 + 16 + 16x + 4x = 16 Combine like terms: 8 + 16 = 24 24 + 16x + 4x = 16 Combine like terms: 16x + 4x = 20x 24 + 20x = 16 Solving 24 + 20x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 20x = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = 16 + -24 20x = 16 + -24 Combine like terms: 16 + -24 = -8 20x = -8 Divide each side by '20'. x = -0.4 Simplifying x = -0.4
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