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Simplifying 5(4 + 4x) = -28 + 8x (4 * 5 + 4x * 5) = -28 + 8x (20 + 20x) = -28 + 8x Solving 20 + 20x = -28 + 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. 20 + 20x + -8x = -28 + 8x + -8x Combine like terms: 20x + -8x = 12x 20 + 12x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + 12x = -28 + 0 20 + 12x = -28 Add '-20' to each side of the equation. 20 + -20 + 12x = -28 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = -28 + -20 12x = -28 + -20 Combine like terms: -28 + -20 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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