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Simplifying 4(4x + 7) = 128 + -4x Reorder the terms: 4(7 + 4x) = 128 + -4x (7 * 4 + 4x * 4) = 128 + -4x (28 + 16x) = 128 + -4x Solving 28 + 16x = 128 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 28 + 16x + 4x = 128 + -4x + 4x Combine like terms: 16x + 4x = 20x 28 + 20x = 128 + -4x + 4x Combine like terms: -4x + 4x = 0 28 + 20x = 128 + 0 28 + 20x = 128 Add '-28' to each side of the equation. 28 + -28 + 20x = 128 + -28 Combine like terms: 28 + -28 = 0 0 + 20x = 128 + -28 20x = 128 + -28 Combine like terms: 128 + -28 = 100 20x = 100 Divide each side by '20'. x = 5 Simplifying x = 5
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