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Simplifying 4(3x + 12) + 4(x + 4) = 16 Reorder the terms: 4(12 + 3x) + 4(x + 4) = 16 (12 * 4 + 3x * 4) + 4(x + 4) = 16 (48 + 12x) + 4(x + 4) = 16 Reorder the terms: 48 + 12x + 4(4 + x) = 16 48 + 12x + (4 * 4 + x * 4) = 16 48 + 12x + (16 + 4x) = 16 Reorder the terms: 48 + 16 + 12x + 4x = 16 Combine like terms: 48 + 16 = 64 64 + 12x + 4x = 16 Combine like terms: 12x + 4x = 16x 64 + 16x = 16 Solving 64 + 16x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 16x = 16 + -64 Combine like terms: 64 + -64 = 0 0 + 16x = 16 + -64 16x = 16 + -64 Combine like terms: 16 + -64 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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