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Simplifying 6(5x + 100) = 500 + 5x Reorder the terms: 6(100 + 5x) = 500 + 5x (100 * 6 + 5x * 6) = 500 + 5x (600 + 30x) = 500 + 5x Solving 600 + 30x = 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. 600 + 30x + -5x = 500 + 5x + -5x Combine like terms: 30x + -5x = 25x 600 + 25x = 500 + 5x + -5x Combine like terms: 5x + -5x = 0 600 + 25x = 500 + 0 600 + 25x = 500 Add '-600' to each side of the equation. 600 + -600 + 25x = 500 + -600 Combine like terms: 600 + -600 = 0 0 + 25x = 500 + -600 25x = 500 + -600 Combine like terms: 500 + -600 = -100 25x = -100 Divide each side by '25'. x = -4 Simplifying x = -4
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