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Simplifying 5(5x + 20) = 3(x + 48) Reorder the terms: 5(20 + 5x) = 3(x + 48) (20 * 5 + 5x * 5) = 3(x + 48) (100 + 25x) = 3(x + 48) Reorder the terms: 100 + 25x = 3(48 + x) 100 + 25x = (48 * 3 + x * 3) 100 + 25x = (144 + 3x) Solving 100 + 25x = 144 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 100 + 25x + -3x = 144 + 3x + -3x Combine like terms: 25x + -3x = 22x 100 + 22x = 144 + 3x + -3x Combine like terms: 3x + -3x = 0 100 + 22x = 144 + 0 100 + 22x = 144 Add '-100' to each side of the equation. 100 + -100 + 22x = 144 + -100 Combine like terms: 100 + -100 = 0 0 + 22x = 144 + -100 22x = 144 + -100 Combine like terms: 144 + -100 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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