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Simplifying 4(7x + 6) = 8(x + 16) Reorder the terms: 4(6 + 7x) = 8(x + 16) (6 * 4 + 7x * 4) = 8(x + 16) (24 + 28x) = 8(x + 16) Reorder the terms: 24 + 28x = 8(16 + x) 24 + 28x = (16 * 8 + x * 8) 24 + 28x = (128 + 8x) Solving 24 + 28x = 128 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 28x + -8x = 128 + 8x + -8x Combine like terms: 28x + -8x = 20x 24 + 20x = 128 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 20x = 128 + 0 24 + 20x = 128 Add '-24' to each side of the equation. 24 + -24 + 20x = 128 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = 128 + -24 20x = 128 + -24 Combine like terms: 128 + -24 = 104 20x = 104 Divide each side by '20'. x = 5.2 Simplifying x = 5.2
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