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Simplifying 0.12x + 0.45(12 + -1x) = 1.0 0.12x + (12 * 0.45 + -1x * 0.45) = 1.0 0.12x + (5.4 + -0.45x) = 1.0 Reorder the terms: 5.4 + 0.12x + -0.45x = 1.0 Combine like terms: 0.12x + -0.45x = -0.33x 5.4 + -0.33x = 1.0 Solving 5.4 + -0.33x = 1.0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4' to each side of the equation. 5.4 + -5.4 + -0.33x = 1.0 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -0.33x = 1.0 + -5.4 -0.33x = 1.0 + -5.4 Combine like terms: 1.0 + -5.4 = -4.4 -0.33x = -4.4 Divide each side by '-0.33'. x = 13.33333333 Simplifying x = 13.33333333
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