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Simplifying 0.15 + 0.05(18 + -1x) = 0.10(13) 0.15 + (18 * 0.05 + -1x * 0.05) = 0.10(13) 0.15 + (0.9 + -0.05x) = 0.10(13) Combine like terms: 0.15 + 0.9 = 1.05 1.05 + -0.05x = 0.10(13) Multiply 0.10 * 13 1.05 + -0.05x = 1.3 Solving 1.05 + -0.05x = 1.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05' to each side of the equation. 1.05 + -1.05 + -0.05x = 1.3 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + -0.05x = 1.3 + -1.05 -0.05x = 1.3 + -1.05 Combine like terms: 1.3 + -1.05 = 0.25 -0.05x = 0.25 Divide each side by '-0.05'. x = -5 Simplifying x = -5
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