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Simplifying 20(2x + 7) = 5(4x + 48) Reorder the terms: 20(7 + 2x) = 5(4x + 48) (7 * 20 + 2x * 20) = 5(4x + 48) (140 + 40x) = 5(4x + 48) Reorder the terms: 140 + 40x = 5(48 + 4x) 140 + 40x = (48 * 5 + 4x * 5) 140 + 40x = (240 + 20x) Solving 140 + 40x = 240 + 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. 140 + 40x + -20x = 240 + 20x + -20x Combine like terms: 40x + -20x = 20x 140 + 20x = 240 + 20x + -20x Combine like terms: 20x + -20x = 0 140 + 20x = 240 + 0 140 + 20x = 240 Add '-140' to each side of the equation. 140 + -140 + 20x = 240 + -140 Combine like terms: 140 + -140 = 0 0 + 20x = 240 + -140 20x = 240 + -140 Combine like terms: 240 + -140 = 100 20x = 100 Divide each side by '20'. x = 5 Simplifying x = 5
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