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Simplifying 0.05x + 0.1(15 + -1x) = 0.9 0.05x + (15 * 0.1 + -1x * 0.1) = 0.9 0.05x + (1.5 + -0.1x) = 0.9 Reorder the terms: 1.5 + 0.05x + -0.1x = 0.9 Combine like terms: 0.05x + -0.1x = -0.05x 1.5 + -0.05x = 0.9 Solving 1.5 + -0.05x = 0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.05x = 0.9 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.05x = 0.9 + -1.5 -0.05x = 0.9 + -1.5 Combine like terms: 0.9 + -1.5 = -0.6 -0.05x = -0.6 Divide each side by '-0.05'. x = 12 Simplifying x = 12
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