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Simplifying 0.09x + 0.11(x + 500) = 135 Reorder the terms: 0.09x + 0.11(500 + x) = 135 0.09x + (500 * 0.11 + x * 0.11) = 135 0.09x + (55 + 0.11x) = 135 Reorder the terms: 55 + 0.09x + 0.11x = 135 Combine like terms: 0.09x + 0.11x = 0.2x 55 + 0.2x = 135 Solving 55 + 0.2x = 135 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 0.2x = 135 + -55 Combine like terms: 55 + -55 = 0 0 + 0.2x = 135 + -55 0.2x = 135 + -55 Combine like terms: 135 + -55 = 80 0.2x = 80 Divide each side by '0.2'. x = 400 Simplifying x = 400
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