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Simplifying 80 + 9x = 5(x + 20) Reorder the terms: 80 + 9x = 5(20 + x) 80 + 9x = (20 * 5 + x * 5) 80 + 9x = (100 + 5x) Solving 80 + 9x = 100 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 80 + 9x + -5x = 100 + 5x + -5x Combine like terms: 9x + -5x = 4x 80 + 4x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 80 + 4x = 100 + 0 80 + 4x = 100 Add '-80' to each side of the equation. 80 + -80 + 4x = 100 + -80 Combine like terms: 80 + -80 = 0 0 + 4x = 100 + -80 4x = 100 + -80 Combine like terms: 100 + -80 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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