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Simplifying 5(x + 4) = 3(x + 8) Reorder the terms: 5(4 + x) = 3(x + 8) (4 * 5 + x * 5) = 3(x + 8) (20 + 5x) = 3(x + 8) Reorder the terms: 20 + 5x = 3(8 + x) 20 + 5x = (8 * 3 + x * 3) 20 + 5x = (24 + 3x) Solving 20 + 5x = 24 + 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. 20 + 5x + -3x = 24 + 3x + -3x Combine like terms: 5x + -3x = 2x 20 + 2x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 2x = 24 + 0 20 + 2x = 24 Add '-20' to each side of the equation. 20 + -20 + 2x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 24 + -20 2x = 24 + -20 Combine like terms: 24 + -20 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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