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Simplifying 0.45x + 0.05(8 + -1x) = 0.10(12) 0.45x + (8 * 0.05 + -1x * 0.05) = 0.10(12) 0.45x + (0.4 + -0.05x) = 0.10(12) Reorder the terms: 0.4 + 0.45x + -0.05x = 0.10(12) Combine like terms: 0.45x + -0.05x = 0.4x 0.4 + 0.4x = 0.10(12) Multiply 0.10 * 12 0.4 + 0.4x = 1.2 Solving 0.4 + 0.4x = 1.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.4x = 1.2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.4x = 1.2 + -0.4 0.4x = 1.2 + -0.4 Combine like terms: 1.2 + -0.4 = 0.8 0.4x = 0.8 Divide each side by '0.4'. x = 2 Simplifying x = 2
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