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Simplifying 2(4x + 4) = -5(4x + -5) Reorder the terms: 2(4 + 4x) = -5(4x + -5) (4 * 2 + 4x * 2) = -5(4x + -5) (8 + 8x) = -5(4x + -5) Reorder the terms: 8 + 8x = -5(-5 + 4x) 8 + 8x = (-5 * -5 + 4x * -5) 8 + 8x = (25 + -20x) Solving 8 + 8x = 25 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 8 + 8x + 20x = 25 + -20x + 20x Combine like terms: 8x + 20x = 28x 8 + 28x = 25 + -20x + 20x Combine like terms: -20x + 20x = 0 8 + 28x = 25 + 0 8 + 28x = 25 Add '-8' to each side of the equation. 8 + -8 + 28x = 25 + -8 Combine like terms: 8 + -8 = 0 0 + 28x = 25 + -8 28x = 25 + -8 Combine like terms: 25 + -8 = 17 28x = 17 Divide each side by '28'. x = 0.6071428571 Simplifying x = 0.6071428571
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