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Simplifying 5x + 8 = 20 + 3(x + 4) Reorder the terms: 8 + 5x = 20 + 3(x + 4) Reorder the terms: 8 + 5x = 20 + 3(4 + x) 8 + 5x = 20 + (4 * 3 + x * 3) 8 + 5x = 20 + (12 + 3x) Combine like terms: 20 + 12 = 32 8 + 5x = 32 + 3x Solving 8 + 5x = 32 + 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. 8 + 5x + -3x = 32 + 3x + -3x Combine like terms: 5x + -3x = 2x 8 + 2x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 2x = 32 + 0 8 + 2x = 32 Add '-8' to each side of the equation. 8 + -8 + 2x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 32 + -8 2x = 32 + -8 Combine like terms: 32 + -8 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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