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Simplifying 1.1(3000 + x) = 3400 + 1.05x (3000 * 1.1 + x * 1.1) = 3400 + 1.05x (3300 + 1.1x) = 3400 + 1.05x Solving 3300 + 1.1x = 3400 + 1.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05x' to each side of the equation. 3300 + 1.1x + -1.05x = 3400 + 1.05x + -1.05x Combine like terms: 1.1x + -1.05x = 0.05x 3300 + 0.05x = 3400 + 1.05x + -1.05x Combine like terms: 1.05x + -1.05x = 0.00 3300 + 0.05x = 3400 + 0.00 3300 + 0.05x = 3400 Add '-3300' to each side of the equation. 3300 + -3300 + 0.05x = 3400 + -3300 Combine like terms: 3300 + -3300 = 0 0 + 0.05x = 3400 + -3300 0.05x = 3400 + -3300 Combine like terms: 3400 + -3300 = 100 0.05x = 100 Divide each side by '0.05'. x = 2000 Simplifying x = 2000
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