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Simplifying 11(2x + -4) = 4(5x + 8) Reorder the terms: 11(-4 + 2x) = 4(5x + 8) (-4 * 11 + 2x * 11) = 4(5x + 8) (-44 + 22x) = 4(5x + 8) Reorder the terms: -44 + 22x = 4(8 + 5x) -44 + 22x = (8 * 4 + 5x * 4) -44 + 22x = (32 + 20x) Solving -44 + 22x = 32 + 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. -44 + 22x + -20x = 32 + 20x + -20x Combine like terms: 22x + -20x = 2x -44 + 2x = 32 + 20x + -20x Combine like terms: 20x + -20x = 0 -44 + 2x = 32 + 0 -44 + 2x = 32 Add '44' to each side of the equation. -44 + 44 + 2x = 32 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = 32 + 44 2x = 32 + 44 Combine like terms: 32 + 44 = 76 2x = 76 Divide each side by '2'. x = 38 Simplifying x = 38
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