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Simplifying 0.15x + 0.05(10 + -1x) = 0.10(13) 0.15x + (10 * 0.05 + -1x * 0.05) = 0.10(13) 0.15x + (0.5 + -0.05x) = 0.10(13) Reorder the terms: 0.5 + 0.15x + -0.05x = 0.10(13) Combine like terms: 0.15x + -0.05x = 0.1x 0.5 + 0.1x = 0.10(13) Multiply 0.10 * 13 0.5 + 0.1x = 1.3 Solving 0.5 + 0.1x = 1.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.1x = 1.3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.1x = 1.3 + -0.5 0.1x = 1.3 + -0.5 Combine like terms: 1.3 + -0.5 = 0.8 0.1x = 0.8 Divide each side by '0.1'. x = 8 Simplifying x = 8
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