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Simplifying 4(4x + 16) = 16 + -5x Reorder the terms: 4(16 + 4x) = 16 + -5x (16 * 4 + 4x * 4) = 16 + -5x (64 + 16x) = 16 + -5x Solving 64 + 16x = 16 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 64 + 16x + 5x = 16 + -5x + 5x Combine like terms: 16x + 5x = 21x 64 + 21x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 64 + 21x = 16 + 0 64 + 21x = 16 Add '-64' to each side of the equation. 64 + -64 + 21x = 16 + -64 Combine like terms: 64 + -64 = 0 0 + 21x = 16 + -64 21x = 16 + -64 Combine like terms: 16 + -64 = -48 21x = -48 Divide each side by '21'. x = -2.285714286 Simplifying x = -2.285714286
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