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Simplifying 0.08x + 0.13(350 + -1x) = 0.10 + -350 0.08x + (350 * 0.13 + -1x * 0.13) = 0.10 + -350 0.08x + (45.5 + -0.13x) = 0.10 + -350 Reorder the terms: 45.5 + 0.08x + -0.13x = 0.10 + -350 Combine like terms: 0.08x + -0.13x = -0.05x 45.5 + -0.05x = 0.10 + -350 Combine like terms: 0.10 + -350 = -349.9 45.5 + -0.05x = -349.9 Solving 45.5 + -0.05x = -349.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45.5' to each side of the equation. 45.5 + -45.5 + -0.05x = -349.9 + -45.5 Combine like terms: 45.5 + -45.5 = 0.0 0.0 + -0.05x = -349.9 + -45.5 -0.05x = -349.9 + -45.5 Combine like terms: -349.9 + -45.5 = -395.4 -0.05x = -395.4 Divide each side by '-0.05'. x = 7908 Simplifying x = 7908
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