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Simplifying 0.09x + 0.11(500 + -1x) = 51 0.09x + (500 * 0.11 + -1x * 0.11) = 51 0.09x + (55 + -0.11x) = 51 Reorder the terms: 55 + 0.09x + -0.11x = 51 Combine like terms: 0.09x + -0.11x = -0.02x 55 + -0.02x = 51 Solving 55 + -0.02x = 51 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 + -0.02x = 51 + -55 Combine like terms: 55 + -55 = 0 0 + -0.02x = 51 + -55 -0.02x = 51 + -55 Combine like terms: 51 + -55 = -4 -0.02x = -4 Divide each side by '-0.02'. x = 200 Simplifying x = 200
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