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Simplifying 10(6x + 10) = 11(5x + 10) Reorder the terms: 10(10 + 6x) = 11(5x + 10) (10 * 10 + 6x * 10) = 11(5x + 10) (100 + 60x) = 11(5x + 10) Reorder the terms: 100 + 60x = 11(10 + 5x) 100 + 60x = (10 * 11 + 5x * 11) 100 + 60x = (110 + 55x) Solving 100 + 60x = 110 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 100 + 60x + -55x = 110 + 55x + -55x Combine like terms: 60x + -55x = 5x 100 + 5x = 110 + 55x + -55x Combine like terms: 55x + -55x = 0 100 + 5x = 110 + 0 100 + 5x = 110 Add '-100' to each side of the equation. 100 + -100 + 5x = 110 + -100 Combine like terms: 100 + -100 = 0 0 + 5x = 110 + -100 5x = 110 + -100 Combine like terms: 110 + -100 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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