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Simplifying 0.45x + 0.05(2 + -1x) = 0.10(-55) 0.45x + (2 * 0.05 + -1x * 0.05) = 0.10(-55) 0.45x + (0.1 + -0.05x) = 0.10(-55) Reorder the terms: 0.1 + 0.45x + -0.05x = 0.10(-55) Combine like terms: 0.45x + -0.05x = 0.4x 0.1 + 0.4x = 0.10(-55) Multiply 0.10 * -55 0.1 + 0.4x = -5.5 Solving 0.1 + 0.4x = -5.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.4x = -5.5 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.4x = -5.5 + -0.1 0.4x = -5.5 + -0.1 Combine like terms: -5.5 + -0.1 = -5.6 0.4x = -5.6 Divide each side by '0.4'. x = -14 Simplifying x = -14
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