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Simplifying 0.08x + 0.13(1000 + -1x) = 99 0.08x + (1000 * 0.13 + -1x * 0.13) = 99 0.08x + (130 + -0.13x) = 99 Reorder the terms: 130 + 0.08x + -0.13x = 99 Combine like terms: 0.08x + -0.13x = -0.05x 130 + -0.05x = 99 Solving 130 + -0.05x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-130' to each side of the equation. 130 + -130 + -0.05x = 99 + -130 Combine like terms: 130 + -130 = 0 0 + -0.05x = 99 + -130 -0.05x = 99 + -130 Combine like terms: 99 + -130 = -31 -0.05x = -31 Divide each side by '-0.05'. x = 620 Simplifying x = 620
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