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Simplifying 5(x + 20) = 500 + -5x Reorder the terms: 5(20 + x) = 500 + -5x (20 * 5 + x * 5) = 500 + -5x (100 + 5x) = 500 + -5x Solving 100 + 5x = 500 + -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. 100 + 5x + 5x = 500 + -5x + 5x Combine like terms: 5x + 5x = 10x 100 + 10x = 500 + -5x + 5x Combine like terms: -5x + 5x = 0 100 + 10x = 500 + 0 100 + 10x = 500 Add '-100' to each side of the equation. 100 + -100 + 10x = 500 + -100 Combine like terms: 100 + -100 = 0 0 + 10x = 500 + -100 10x = 500 + -100 Combine like terms: 500 + -100 = 400 10x = 400 Divide each side by '10'. x = 40 Simplifying x = 40
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