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Simplifying 4(16 + 7x) = 4(4x + 6) (16 * 4 + 7x * 4) = 4(4x + 6) (64 + 28x) = 4(4x + 6) Reorder the terms: 64 + 28x = 4(6 + 4x) 64 + 28x = (6 * 4 + 4x * 4) 64 + 28x = (24 + 16x) Solving 64 + 28x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 64 + 28x + -16x = 24 + 16x + -16x Combine like terms: 28x + -16x = 12x 64 + 12x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 64 + 12x = 24 + 0 64 + 12x = 24 Add '-64' to each side of the equation. 64 + -64 + 12x = 24 + -64 Combine like terms: 64 + -64 = 0 0 + 12x = 24 + -64 12x = 24 + -64 Combine like terms: 24 + -64 = -40 12x = -40 Divide each side by '12'. x = -3.333333333 Simplifying x = -3.333333333
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