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Simplifying 5(4x + 80) = 4(x + 48) Reorder the terms: 5(80 + 4x) = 4(x + 48) (80 * 5 + 4x * 5) = 4(x + 48) (400 + 20x) = 4(x + 48) Reorder the terms: 400 + 20x = 4(48 + x) 400 + 20x = (48 * 4 + x * 4) 400 + 20x = (192 + 4x) Solving 400 + 20x = 192 + 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. 400 + 20x + -4x = 192 + 4x + -4x Combine like terms: 20x + -4x = 16x 400 + 16x = 192 + 4x + -4x Combine like terms: 4x + -4x = 0 400 + 16x = 192 + 0 400 + 16x = 192 Add '-400' to each side of the equation. 400 + -400 + 16x = 192 + -400 Combine like terms: 400 + -400 = 0 0 + 16x = 192 + -400 16x = 192 + -400 Combine like terms: 192 + -400 = -208 16x = -208 Divide each side by '16'. x = -13 Simplifying x = -13
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